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1000091504136 = 23317103311232113
BaseRepresentation
bin11101000110110100001…
…10010100111000001000
310112121102002121022120010
432203122012110320020
5112341141411113021
62043234035431520
7132153125344644
oct16433206247010
93477362538503
101000091504136
1135615564434a
121419a87555a0
13734012262ba
1436594665c24
151b0347dd976
hexe8da194e08

1000091504136 has 128 divisors (see below), whose sum is σ = 2653478593920. Its totient is φ = 313023135744.

The previous prime is 1000091504117. The next prime is 1000091504149. The reversal of 1000091504136 is 6314051900001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473303016 + ... + 473305128.

It is an arithmetic number, because the mean of its divisors is an integer number (20730301515).

Almost surely, 21000091504136 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 1000091504136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326739296960).

1000091504136 is an abundant number, since it is smaller than the sum of its proper divisors (1653387089784).

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

1000091504136 is a wasteful number, since it uses less digits than its factorization.

1000091504136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 1000091504136 in words is "one trillion, ninety-one million, five hundred four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1033 1123 2066 2113 2246 3099 3369 4132 4226 4492 6198 6339 6738 8264 8452 8984 12396 12678 13476 16904 17561 19091 24792 25356 26952 35122 35921 38182 50712 52683 57273 70244 71842 76364 105366 107763 114546 140488 143684 152728 210732 215526 229092 287368 421464 431052 458184 862104 1160059 2182729 2320118 2372899 3480177 4365458 4640236 4745798 6548187 6960354 7118697 8730916 9280472 9491596 13096374 13920708 14237394 17461832 18983192 19721003 26192748 27841416 28474788 37106393 39442006 40339283 52385496 56949576 59163009 74212786 78884012 80678566 111319179 118326018 121017849 148425572 157768024 161357132 222638358 236652036 242035698 296851144 322714264 445276716 473304072 484071396 890553432 968142792 2451204667 4902409334 7353614001 9804818668 14707228002 19609637336 29414456004 41670479339 58828912008 83340958678 125011438017 166681917356 250022876034 333363834712 500045752068 1000091504136