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30275239262436 = 223472436692
BaseRepresentation
bin1101110001001000000001…
…11000011011100011100100
310222012021200110220222210000
412320210000320123203210
512432012142222344221
6144220130343501300
76243212436461400
oct670440070334344
9128167613828700
1030275239262436
119712725320783
12348b664457830
1313b7c3448784c
14769487c28100
153777dd7c7e26
hex1b8900e1b8e4

30275239262436 has 135 divisors (see below), whose sum is σ = 92069271127449. Its totient is φ = 8649870278112.

The previous prime is 30275239262431. The next prime is 30275239262447. The reversal of 30275239262436 is 63426293257203.

The square root of 30275239262436 is 5502294.

It is a perfect power (a square), and thus also a powerful number.

30275239262436 is a `hidden beast` number, since 3 + 0 + 2 + 7 + 5 + 2 + 3 + 9 + 2 + 624 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12923349148836 + 17351890113600 = 3594906^2 + 4165560^2 .

It is a super-2 number, since 2×302752392624362 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30275239262431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 693267210 + ... + 693310878.

Almost surely, 230275239262436 is an apocalyptic number.

30275239262436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30275239262436 is the 5502294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30275239262436

30275239262436 is an abundant number, since it is smaller than the sum of its proper divisors (61794031865013).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30275239262436 is an frugal number, since it uses more digits than its factorization.

30275239262436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87368 (or 43681 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 30275239262436 in words is "thirty trillion, two hundred seventy-five billion, two hundred thirty-nine million, two hundred sixty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 43669 87338 131007 174676 262014 305683 393021 524028 611366 786042 917049 1179063 1222732 1572084 1834098 2139781 2358126 2751147 3537189 3668196 4279562 4716252 5502294 6419343 7074378 8253441 8559124 11004588 12838686 14148756 16506882 19258029 24760323 25677372 33013764 38516058 49520646 57774087 77032116 99041292 115548174 173322261 231096348 346644522 693289044 1906981561 3813963122 5720944683 7627926244 11441889366 13348870927 17162834049 22883778732 26697741854 34325668098 40046612781 51488502147 53395483708 68651336196 80093225562 93442096489 102977004294 120139838343 154465506441 160186451124 186884192978 205954008588 240279676686 280326289467 308931012882 360419515029 373768385956 480559353372 560652578934 617862025764 720839030058 840978868401 1081258545087 1121305157868 1441678060116 1681957736802 2162517090174 2522936605203 3363915473604 4325034180348 5045873210406 7568809815609 10091746420812 15137619631218 30275239262436