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252963340084 = 227132979303341
BaseRepresentation
bin1110101110010111001…
…0100011111100110100
3220011221110011010111201
43223211302203330310
513121032103340314
6312113150142244
724163444625140
oct3534562437464
9804843133451
10252963340084
1198310235544
1241038ab1984
131ab14ca8c70
14c35a1d4220
1568a806ab74
hex3ae5ca3f34

252963340084 has 96 divisors (see below), whose sum is σ = 570768307200. Its totient is φ = 95399216640.

The previous prime is 252963340081. The next prime is 252963340103. The reversal of 252963340084 is 480043369252.

It is a super-2 number, since 2×2529633400842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252963340081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682254 + ... + 985594.

It is an arithmetic number, because the mean of its divisors is an integer number (5945503200).

Almost surely, 2252963340084 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 252963340084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285384153600).

252963340084 is an abundant number, since it is smaller than the sum of its proper divisors (317804967116).

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

252963340084 is a wasteful number, since it uses less digits than its factorization.

252963340084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303473 (or 303471 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 252963340084 in words is "two hundred fifty-two billion, nine hundred sixty-three million, three hundred forty thousand, eighty-four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 79 91 116 158 182 203 316 364 377 406 553 754 812 1027 1106 1508 2054 2212 2291 2639 4108 4582 5278 7189 9164 10556 14378 16037 28756 29783 32074 59566 64148 119132 208481 303341 416962 606682 833924 1213364 2123387 3943433 4246774 7886866 8493548 8796889 15773732 17593778 23963939 27604031 35187556 47927878 55208062 61578223 95855756 110416124 114359557 123156446 167747573 228719114 246312892 311531207 335495146 457438228 623062414 670990292 694954231 800516899 1246124828 1389908462 1601033798 2180718449 2779816924 3202067596 4361436898 4864679617 8722873796 9034405003 9729359234 18068810006 19458718468 36137620012 63240835021 126481670042 252963340084