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10000918441917 = 32131934391008863
BaseRepresentation
bin1001000110001000010100…
…1100001110111110111101
31022102002010012102221021200
42101202011030032332331
52302323340110120132
633134205234250113
72051354040102444
oct221420514167675
938362105387250
1010000918441917
113206402812027
1211562b3426939
1357710c50b090
142680930c9d5b
151252308b3d7c
hex9188530efbd

10000918441917 has 48 divisors (see below), whose sum is σ = 15673226849280. Its totient is φ = 6108570630144.

The previous prime is 10000918441883. The next prime is 10000918441961. The reversal of 10000918441917 is 71914481900001.

10000918441917 is a `hidden beast` number, since 100 + 0 + 0 + 9 + 18 + 441 + 91 + 7 = 666.

10000918441917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000918441917 - 212 = 10000918437821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000918461917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9408628 + ... + 10417490.

It is an arithmetic number, because the mean of its divisors is an integer number (326525559360).

Almost surely, 210000918441917 is an apocalyptic number.

It is an amenable number.

10000918441917 is a deficient number, since it is larger than the sum of its proper divisors (5672308407363).

10000918441917 is a wasteful number, since it uses less digits than its factorization.

10000918441917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009514 (or 1009511 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 10000918441917 in words is "ten trillion, nine hundred eighteen million, four hundred forty-one thousand, nine hundred seventeen".

Divisors: 1 3 9 13 39 117 193 439 579 1317 1737 2509 3951 5707 7527 17121 22581 51363 84727 254181 762543 1008863 1101451 3026589 3304353 9079767 9913059 13115219 39345657 118036971 194710559 442890857 584131677 1328672571 1752395031 2531237267 3986017713 5757581141 7593711801 17272743423 22781135403 51818230269 85477935401 256433806203 769301418609 1111213160213 3333639480639 10000918441917