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11461605054016 = 2613193719595971
BaseRepresentation
bin1010011011001001110011…
…1001011101011001000000
31111120201101222000001020111
42212302130321131121000
53000241331343212031
640213215541521104
72262034154331655
oct246623471353100
944521358001214
1011461605054016
113719926282197
121351404413194
13651a94ba4880
142b8a5d439c2c
1514d2216a21b1
hexa6c9ce5d640

11461605054016 has 112 divisors (see below), whose sum is σ = 26479645044160. Its totient is φ = 4876104407040.

The previous prime is 11461605053999. The next prime is 11461605054047. The reversal of 11461605054016 is 61045050616411.

It is a super-2 number, since 2×114616050540162 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11461605054016.

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, 9213090 + ... + 10382881.

It is an arithmetic number, because the mean of its divisors is an integer number (236425402180).

Almost surely, 211461605054016 is an apocalyptic number.

11461605054016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11461605054016 is an abundant number, since it is smaller than the sum of its proper divisors (15018039990144).

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

11461605054016 is a wasteful number, since it uses less digits than its factorization.

11461605054016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19596052 (or 19596042 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 11461605054016 in words is "eleven trillion, four hundred sixty-one billion, six hundred five million, fifty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 19 26 32 37 38 52 64 74 76 104 148 152 208 247 296 304 416 481 494 592 608 703 832 962 988 1184 1216 1406 1924 1976 2368 2812 3848 3952 5624 7696 7904 9139 11248 15392 15808 18278 22496 30784 36556 44992 73112 146224 292448 584896 19595971 39191942 78383884 156767768 254747623 313535536 372323449 509495246 627071072 725050927 744646898 1018990492 1254142144 1450101854 1489293796 2037980984 2900203708 2978587592 4075961968 4840204837 5800407416 5957175184 8151923936 9425662051 9680409674 11600814832 11914350368 13775967613 16303847872 18851324102 19360819348 23201629664 23828700736 27551935226 37702648204 38721638696 46403259328 55103870452 75405296408 77443277392 110207740904 150810592816 154886554784 179087578969 220415481808 301621185632 309773109568 358175157938 440830963616 603242371264 716350315876 881661927232 1432700631752 2865401263504 5730802527008 11461605054016