Search a number
-
+
12939897106296 = 2332647499355633
BaseRepresentation
bin1011110001001100110111…
…1110000110111101111000
31200211001010200022011220100
42330103031332012331320
53144001402124400141
643304301234555400
72503606466420136
oct274231576067570
950731120264810
1012939897106296
114139863635116
12154ba09438b60
1372b2c4b135a4
1432a419a2a756
151768e2dac0b6
hexbc4cdf86f78

12939897106296 has 96 divisors (see below), whose sum is σ = 35107381726560. Its totient is φ = 4305692491776.

The previous prime is 12939897106291. The next prime is 12939897106313. The reversal of 12939897106296 is 69260179893921.

12939897106296 is a `hidden beast` number, since 1 + 2 + 9 + 398 + 97 + 1 + 0 + 62 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12939897106291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232566096 + ... + 232621728.

It is an arithmetic number, because the mean of its divisors is an integer number (365701892985).

Almost surely, 212939897106296 is an apocalyptic number.

It is an amenable number.

12939897106296 is an abundant number, since it is smaller than the sum of its proper divisors (22167484620264).

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

12939897106296 is a wasteful number, since it uses less digits than its factorization.

12939897106296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61285 (or 61278 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 12939897106296 in words is "twelve trillion, nine hundred thirty-nine billion, eight hundred ninety-seven million, one hundred six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 647 1294 1941 2588 3882 4993 5176 5823 7764 9986 11646 14979 15528 19972 23292 29958 39944 44937 46584 55633 59916 89874 111266 119832 166899 179748 222532 333798 359496 445064 500697 667596 1001394 1335192 2002788 3230471 4005576 6460942 9691413 12921884 19382826 25843768 29074239 35994551 38765652 58148478 71989102 77531304 107983653 116296956 143978204 215967306 232593912 277775569 287956408 323950959 431934612 555551138 647901918 833326707 863869224 1111102276 1295803836 1666653414 2222204552 2499980121 2591607672 3333306828 4999960242 6666613656 9999920484 19999840968 179720793143 359441586286 539162379429 718883172572 1078324758858 1437766345144 1617487138287 2156649517716 3234974276574 4313299035432 6469948553148 12939897106296