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30305239056 = 24328921632
BaseRepresentation
bin11100001110010101…
…010100000000010000
32220020000122122122100
4130032111110000100
5444031120122211
621531054240400
72121664165431
oct341625240020
986200578570
1030305239056
1111941576714
125a591b6100
132b1c6a8721
141676bc3488
15bc5820156
hex70e554010

30305239056 has 135 divisors (see below), whose sum is σ = 86305699389. Its totient is φ = 9926966016.

The previous prime is 30305239049. The next prime is 30305239099. The reversal of 30305239056 is 65093250303.

The square root of 30305239056 is 174084.

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

It can be written as a sum of positive squares in only one way, i.e., 5819248656 + 24485990400 = 76284^2 + 156480^2 .

It is a super-2 number, since 2×303052390562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30305239056.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185921631 + ... + 185921793.

Almost surely, 230305239056 is an apocalyptic number.

30305239056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30305239056 is the 174084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30305239056

30305239056 is an abundant number, since it is smaller than the sum of its proper divisors (56000460333).

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

30305239056 is an equidigital number, since it uses as much as digits as its factorization.

30305239056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

Multiplying 30305239056 by its sum of digits (36), we get a square (1090988606016 = 10445042).

30305239056 divided by its sum of digits (36) gives a square (841812196 = 290142).

Adding to 30305239056 its reverse (65093250303), we get a palindrome (95398489359).

It can be divided in two parts, 30305 and 239056, that added together give a square (269361 = 5192).

The spelling of 30305239056 in words is "thirty billion, three hundred five million, two hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 163 178 267 326 356 489 534 652 712 801 978 1068 1304 1424 1467 1602 1956 2136 2608 2934 3204 3912 4272 5868 6408 7824 7921 11736 12816 14507 15842 23472 23763 26569 29014 31684 43521 47526 53138 58028 63368 71289 79707 87042 95052 106276 116056 126736 130563 142578 159414 174084 190104 212552 232112 239121 261126 285156 318828 348168 380208 425104 478242 522252 570312 637656 696336 956484 1044504 1140624 1275312 1291123 1912968 2089008 2364641 2582246 3825936 3873369 4729282 5164492 7093923 7746738 9458564 10328984 11620107 14187846 15493476 18917128 20657968 21281769 23240214 28375692 30986952 37834256 42563538 46480428 56751384 61973904 85127076 92960856 113502768 170254152 185921712 210453049 340508304 420906098 631359147 841812196 1262718294 1683624392 1894077441 2525436588 3367248784 3788154882 5050873176 7576309764 10101746352 15152619528 30305239056