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11864857914 = 23371319127079
BaseRepresentation
bin10110000110011001…
…10101110100111010
31010121212211020021000
423003030311310322
5143244400423124
65241201025430
7600010425330
oct130314656472
933555736230
1011864857914
1150394483a8
122371625276
1311711686b0
14807abdb50
154969786c9
hex2c3335d3a

11864857914 has 128 divisors (see below), whose sum is σ = 34159104000. Its totient is φ = 2964475584.

The previous prime is 11864857913. The next prime is 11864857937. The reversal of 11864857914 is 41975846811.

11864857914 is a `hidden beast` number, since 1 + 1 + 8 + 64 + 8 + 579 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11864857913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29827 + ... + 156905.

It is an arithmetic number, because the mean of its divisors is an integer number (266868000).

Almost surely, 211864857914 is an apocalyptic number.

11864857914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11864857914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079552000).

11864857914 is an abundant number, since it is smaller than the sum of its proper divisors (22294246086).

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

11864857914 is a wasteful number, since it uses less digits than its factorization.

11864857914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127129 (or 127123 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 11864857914 in words is "eleven billion, eight hundred sixty-four million, eight hundred fifty-seven thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 54 57 63 78 91 114 117 126 133 171 182 189 234 247 266 273 342 351 378 399 494 513 546 702 741 798 819 1026 1197 1482 1638 1729 2223 2394 2457 3458 3591 4446 4914 5187 6669 7182 10374 13338 15561 31122 46683 93366 127079 254158 381237 762474 889553 1143711 1652027 1779106 2287422 2414501 2668659 3304054 3431133 4829002 4956081 5337318 6862266 7243503 8005977 9912162 11564189 14487006 14868243 16011954 16901507 21730509 23128378 24017931 29736486 31388513 33803014 34692567 43461018 44604729 48035862 50704521 62777026 65191527 69385134 89209458 94165539 101409042 104077701 130383054 152113563 188331078 208155402 219719591 282496617 304227126 312233103 439439182 456340689 564993234 624466206 659158773 847489851 912681378 1318317546 1694979702 1977476319 3954952638 5932428957 11864857914