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11644204896 = 253417925097
BaseRepresentation
bin10101101100000110…
…00111011101100000
31010001111121220020000
422312003013131200
5142321404024041
65203235420000
7561361052142
oct126603073540
933044556200
1011644204896
114a35939535
12230b754600
13113752c98c
147c6682c92
154823debb6
hex2b60c7760

11644204896 has 120 divisors (see below), whose sum is σ = 34437969720. Its totient is φ = 3859564032.

The previous prime is 11644204889. The next prime is 11644204933. The reversal of 11644204896 is 69840244611.

11644204896 is a `hidden beast` number, since 1 + 164 + 4 + 2 + 0 + 489 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 451420 + ... + 476516.

It is an arithmetic number, because the mean of its divisors is an integer number (286983081).

Almost surely, 211644204896 is an apocalyptic number.

11644204896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11644204896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218984860).

11644204896 is an abundant number, since it is smaller than the sum of its proper divisors (22793764824).

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

11644204896 is a wasteful number, since it uses less digits than its factorization.

11644204896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25298 (or 25281 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 11644204896 in words is "eleven billion, six hundred forty-four million, two hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 179 216 288 324 358 432 537 648 716 864 1074 1296 1432 1611 2148 2592 2864 3222 4296 4833 5728 6444 8592 9666 12888 14499 17184 19332 25097 25776 28998 38664 50194 51552 57996 75291 77328 100388 115992 150582 154656 200776 225873 231984 301164 401552 451746 463968 602328 677619 803104 903492 1204656 1355238 1806984 2032857 2409312 2710476 3613968 4065714 4492363 5420952 7227936 8131428 8984726 10841904 13477089 16262856 17969452 21683808 26954178 32525712 35938904 40431267 53908356 65051424 71877808 80862534 107816712 121293801 143755616 161725068 215633424 242587602 323450136 363881403 431266848 485175204 646900272 727762806 970350408 1293800544 1455525612 1940700816 2911051224 3881401632 5822102448 11644204896