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129792224016048 = 24311310397919669
BaseRepresentation
bin11101100000101110011011…
…011010000011011010110000
3122000120000102020211200121210
4131200232123122003122300
5114003003433322003143
61140013420301320120
736224115210035346
oct3540563332033260
9560500366750553
10129792224016048
11383a0633865210
1212682729266040
13575647b268599
142409d97487996
1510012d8629033
hex760b9b6836b0

129792224016048 has 80 divisors (see below), whose sum is σ = 365789916518400. Its totient is φ = 39329704861440.

The previous prime is 129792224016047. The next prime is 129792224016067. The reversal of 129792224016048 is 840610422297921.

It is a super-3 number, since 3×1297922240160483 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (129792224016047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12428758 + ... + 20348426.

It is an arithmetic number, because the mean of its divisors is an integer number (4572373956480).

Almost surely, 2129792224016048 is an apocalyptic number.

It is an amenable number.

129792224016048 is an abundant number, since it is smaller than the sum of its proper divisors (235997692502352).

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

129792224016048 is a wasteful number, since it uses less digits than its factorization.

129792224016048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950730 (or 7950724 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 129792224016048 in words is "one hundred twenty-nine trillion, seven hundred ninety-two billion, two hundred twenty-four million, sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 31039 62078 93117 124156 186234 248312 341429 372468 496624 682858 744936 1024287 1365716 1489872 2048574 2731432 4097148 5462864 7919669 8194296 15839338 16388592 23759007 31678676 47518014 63357352 87116359 95036028 126714704 174232718 190072056 261349077 348465436 380144112 522698154 696930872 1045396308 1393861744 2090792616 4181585232 245818606091 491637212182 737455818273 983274424364 1474911636546 1966548848728 2704004667001 2949823273092 3933097697456 5408009334002 5899646546184 8112014001003 10816018668004 11799293092368 16224028002006 21632037336008 32448056004012 43264074672016 64896112008024 129792224016048