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201136749189264 = 24337167398284283
BaseRepresentation
bin101101101110111011001100…
…011111001001100010010000
3222101011111002212210001211000
4231232323030133021202100
5202330411030243024024
61551440540313422000
760236436102100530
oct5556731437114220
9871144085701730
10201136749189264
11590a7686325139
121a68579640a900
13883016379a755
1437950dba454c0
15183c065e3dcc9
hexb6eecc7c9890

201136749189264 has 160 divisors (see below), whose sum is σ = 663764656343040. Its totient is φ = 57123524861568.

The previous prime is 201136749189217. The next prime is 201136749189269. The reversal of 201136749189264 is 462981947631102.

201136749189264 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 6 + 7 + 491 + 89 + 2 + 64 = 666.

It is a super-2 number, since 2×2011367491892642 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (201136749189269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198637134 + ... + 199647149.

It is an arithmetic number, because the mean of its divisors is an integer number (4148529102144).

Almost surely, 2201136749189264 is an apocalyptic number.

201136749189264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201136749189264 is an abundant number, since it is smaller than the sum of its proper divisors (462627907153776).

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

201136749189264 is a wasteful number, since it uses less digits than its factorization.

201136749189264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398284474 (or 398284462 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 201136749189264 in words is "two hundred one trillion, one hundred thirty-six billion, seven hundred forty-nine million, one hundred eighty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 167 168 189 216 252 334 336 378 432 501 504 668 756 1002 1008 1169 1336 1503 1512 2004 2338 2672 3006 3024 3507 4008 4509 4676 6012 7014 8016 9018 9352 10521 12024 14028 18036 18704 21042 24048 28056 31563 36072 42084 56112 63126 72144 84168 126252 168336 252504 505008 398284283 796568566 1194852849 1593137132 2389705698 2787989981 3186274264 3584558547 4779411396 5575979962 6372548528 7169117094 8363969943 9558822792 10753675641 11151959924 14338234188 16727939886 19117645584 21507351282 22303919848 25091909829 28676468376 33455879772 43014702564 44607839696 50183819658 57352936752 66513475261 66911759544 75275729487 86029405128 100367639316 133026950522 133823519088 150551458974 172058810256 199540425783 200735278632 266053901044 301102917948 399080851566 401470557264 465594326827 532107802088 598621277349 602205835896 798161703132 931188653654 1064215604176 1197242554698 1204411671792 1396782980481 1596323406264 1795863832047 1862377307308 2394485109396 2793565960962 3192646812528 3591727664094 3724754614616 4190348941443 4788970218792 5587131921924 7183455328188 7449509229232 8380697882886 9577940437584 11174263843848 12571046824329 14366910656376 16761395765772 22348527687696 25142093648658 28733821312752 33522791531544 50284187297316 67045583063088 100568374594632 201136749189264