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11534136992 = 257439291289
BaseRepresentation
bin10101011110111110…
…01111011010100000
31002202211111212102222
422233133033122200
5142110214340432
65144304330212
7555553355360
oct125737173240
932684455388
1011534136992
1149897a0924
12229a913968
13111a7a2741
147b5bd09a0
154778ec112
hex2af7cf6a0

11534136992 has 96 divisors (see below), whose sum is σ = 26604547200. Its totient is φ = 4819304448.

The previous prime is 11534136881. The next prime is 11534137001. The reversal of 11534136992 is 29963143511.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8947484 + ... + 8948772.

It is an arithmetic number, because the mean of its divisors is an integer number (277130700).

Almost surely, 211534136992 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 11534136992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13302273600).

11534136992 is an abundant number, since it is smaller than the sum of its proper divisors (15070410208).

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

11534136992 is a wasteful number, since it uses less digits than its factorization.

11534136992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2270 counting only the distinct ones).

The product of its digits is 174960, while the sum is 44.

The spelling of 11534136992 in words is "eleven billion, five hundred thirty-four million, one hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 929 1204 1289 1376 1858 2408 2578 3716 4816 5156 6503 7432 9023 9632 10312 13006 14864 18046 20624 26012 29728 36092 39947 41248 52024 55427 72184 79894 104048 110854 144368 159788 208096 221708 279629 288736 319576 387989 443416 559258 639152 775978 886832 1118516 1197481 1278304 1551956 1773664 2237032 2394962 3103912 4474064 4789924 6207824 8382367 8948128 9579848 12415648 16764734 19159696 33529468 38319392 51491683 67058936 102983366 134117872 205966732 268235744 360441781 411933464 720883562 823866928 1441767124 1647733856 2883534248 5767068496 11534136992