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52300151424 = 2732136733211
BaseRepresentation
bin110000101101010101…
…001111101010000000
311222222212221222012100
4300231111033222000
51324102314321144
640005405430400
73531021644403
oct605525175200
9158885858170
1052300151424
11201a9087944
12a17726b400
134c16468a81
142761ddbd3a
151561796269
hexc2d54fa80

52300151424 has 96 divisors (see below), whose sum is σ = 150613763040. Its totient is φ = 17420106240.

The previous prime is 52300151419. The next prime is 52300151509. The reversal of 52300151424 is 42415100325.

52300151424 is a `hidden beast` number, since 5 + 230 + 0 + 1 + 5 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1558179 + ... + 1591389.

It is an arithmetic number, because the mean of its divisors is an integer number (1568893365).

Almost surely, 252300151424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52300151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75306881520).

52300151424 is an abundant number, since it is smaller than the sum of its proper divisors (98313611616).

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

52300151424 is a wasteful number, since it uses less digits than its factorization.

52300151424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34598 (or 34583 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 52300151424 its reverse (42415100325), we get a palindrome (94715251749).

The spelling of 52300151424 in words is "fifty-two billion, three hundred million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1367 2734 4101 5468 8202 10936 12303 16404 21872 24606 32808 33211 43744 49212 65616 66422 87488 98424 99633 131232 132844 174976 196848 199266 262464 265688 298899 393696 398532 524928 531376 597798 787392 797064 1062752 1195596 1574784 1594128 2125504 2391192 3188256 4251008 4782384 6376512 9564768 12753024 19129536 38259072 45399437 90798874 136198311 181597748 272396622 363195496 408594933 544793244 726390992 817189866 1089586488 1452781984 1634379732 2179172976 2905563968 3268759464 4358345952 5811127936 6537518928 8716691904 13075037856 17433383808 26150075712 52300151424