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232663313144064 = 2831127540638393
BaseRepresentation
bin110100111001101100100110…
…001000011101100100000000
31010111210101200022212200111110
4310321230212020131210000
5220443423431131102224
62142500014524243320
7100002240536143005
oct6471544610354400
91114711608780443
10232663313144064
1168151a58827a30
12221178609a0540
139ca9096881b3a
144164d705d58ac
151bd7190213929
hexd39b2621d900

232663313144064 has 72 divisors (see below), whose sum is σ = 675516778528032. Its totient is φ = 70504034283520.

The previous prime is 232663313144027. The next prime is 232663313144123. The reversal of 232663313144064 is 460441313366232.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13770310749 + ... + 13770327644.

It is an arithmetic number, because the mean of its divisors is an integer number (9382177479556).

Almost surely, 2232663313144064 is an apocalyptic number.

232663313144064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232663313144064 is an abundant number, since it is smaller than the sum of its proper divisors (442853465383968).

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

232663313144064 is a wasteful number, since it uses less digits than its factorization.

232663313144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27540638423 (or 27540638409 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 232663313144064 in words is "two hundred thirty-two trillion, six hundred sixty-three billion, three hundred thirteen million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 27540638393 55081276786 82621915179 110162553572 165243830358 220325107144 302947022323 330487660716 440650214288 605894044646 660975321432 881300428576 908841066969 1211788089292 1321950642864 1762600857152 1817682133938 2423576178584 2643901285728 3525201714304 3635364267876 4847152357168 5287802571456 7050403428608 7270728535752 9694304714336 10575605142912 14541457071504 19388609428672 21151210285824 29082914143008 38777218857344 58165828286016 77554437714688 116331656572032 232663313144064