Search a number
-
+
14797120575936 = 2631737122525177
BaseRepresentation
bin1101011101010011100100…
…0111011001100111000000
31221101120221202220210111110
43113110321013121213000
53414414000331412221
651245411531243320
73055025304430206
oct327247107314700
957346852823443
1014797120575936
114795472894476
1217ab9458a9540
138344934b51aa
14392282217076
151a9d91517776
hexd75391d99c0

14797120575936 has 112 divisors (see below), whose sum is σ = 42574068650016. Its totient is φ = 4516768088064.

The previous prime is 14797120575893. The next prime is 14797120575943. The reversal of 14797120575936 is 63957502179741.

14797120575936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 61141821 + ... + 61383356.

Almost surely, 214797120575936 is an apocalyptic number.

14797120575936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14797120575936 is an abundant number, since it is smaller than the sum of its proper divisors (27776948074080).

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

14797120575936 is a wasteful number, since it uses less digits than its factorization.

14797120575936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122525246 (or 122525236 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 66.

The spelling of 14797120575936 in words is "fourteen trillion, seven hundred ninety-seven billion, one hundred twenty million, five hundred seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 136 148 192 204 222 272 296 408 444 544 592 629 816 888 1088 1184 1258 1632 1776 1887 2368 2516 3264 3552 3774 5032 7104 7548 10064 15096 20128 30192 40256 60384 120768 122525177 245050354 367575531 490100708 735151062 980201416 1470302124 1960402832 2082928009 2940604248 3920805664 4165856018 4533431549 5881208496 6248784027 7841611328 8331712036 9066863098 11762416992 12497568054 13600294647 16663424072 18133726196 23524833984 24995136108 27200589294 33326848144 36267452392 49990272216 54401178588 66653696288 72534904784 77068336333 99980544432 108802357176 133307392576 145069809568 154136672666 199961088864 217604714352 231205008999 290139619136 308273345332 399922177728 435209428704 462410017998 616546690664 870418857408 924820035996 1233093381328 1849640071992 2466186762656 3699280143984 4932373525312 7398560287968 14797120575936