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1002327295104 = 27332910000871
BaseRepresentation
bin11101001010111110101…
…11001100010010000000
310112211011220122021012000
432211133113030102000
5112410231241420404
62044243544304000
7132262414301652
oct16453727142200
93484156567160
101002327295104
113570a269a183
12142311472000
13736994a9735
143672757c6d2
151b115c2a339
hexe95f5cc480

1002327295104 has 128 divisors (see below), whose sum is σ = 3060266832000. Its totient is φ = 322588062720.

The previous prime is 1002327295049. The next prime is 1002327295111. The reversal of 1002327295104 is 4015927232001.

1002327295104 is a `hidden beast` number, since 100 + 2 + 32 + 7 + 2 + 9 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10023272951042 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4900212 + ... + 5100659.

It is an arithmetic number, because the mean of its divisors is an integer number (23908334625).

Almost surely, 21002327295104 is an apocalyptic number.

It is an amenable number.

1002327295104 is an abundant number, since it is smaller than the sum of its proper divisors (2057939536896).

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

1002327295104 is a wasteful number, since it uses less digits than its factorization.

1002327295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000923 (or 10000905 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1002327295104 in words is "one trillion, two billion, three hundred twenty-seven million, two hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3456 3712 4176 5568 6264 8352 11136 12528 16704 25056 33408 50112 100224 10000871 20001742 30002613 40003484 60005226 80006968 90007839 120010452 160013936 180015678 240020904 270023517 290025259 320027872 360031356 480041808 540047034 580050518 640055744 720062712 870075777 960083616 1080094068 1160101036 1280111488 1440125424 1740151554 1920167232 2160188136 2320202072 2610227331 2880250848 3480303108 3840334464 4320376272 4640404144 5220454662 5760501696 6960606216 7830681993 8640752544 9280808288 10440909324 11521003392 13921212432 15661363986 17281505088 18561616576 20881818648 27842424864 31322727972 34563010176 37123233152 41763637296 55684849728 62645455944 83527274592 111369699456 125290911888 167054549184 250581823776 334109098368 501163647552 1002327295104