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56149795106832 = 24378313071540477
BaseRepresentation
bin11001100010001011001001…
…00101110111000000010000
321100210212102202121200022210
430301011210211313000100
524324424240021404312
6315230505413232120
714553455160346350
oct1461054445670020
9240725382550283
1056149795106832
1116988aa3574399
12636a258932640
132543b97a5395b
14dc1943890b60
156758b9702e3c
hex331164977010

56149795106832 has 160 divisors (see below), whose sum is σ = 167901355625472. Its totient is φ = 15837374956032.

The previous prime is 56149795106809. The next prime is 56149795106837. The reversal of 56149795106832 is 23860159794165.

It is not an unprimeable number, because it can be changed into a prime (56149795106837) 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, 35679378 + ... + 37219854.

It is a 1-persistent number, because it is pandigital, but 2⋅56149795106832 = 112299590213664 is not.

Almost surely, 256149795106832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56149795106832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83950677812736).

56149795106832 is an abundant number, since it is smaller than the sum of its proper divisors (111751560518640).

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

56149795106832 is a wasteful number, since it uses less digits than its factorization.

56149795106832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541885 (or 1541879 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 56149795106832 in words is "fifty-six trillion, one hundred forty-nine billion, seven hundred ninety-five million, one hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 996 1162 1307 1328 1743 1992 2324 2614 3486 3921 3984 4648 5228 6972 7842 9149 9296 10456 13944 15684 18298 20912 27447 27888 31368 36596 54894 62736 73192 108481 109788 146384 216962 219576 325443 433924 439152 650886 759367 867848 1301772 1518734 1540477 1735696 2278101 2603544 3037468 3080954 4556202 4621431 5207088 6074936 6161908 9112404 9242862 10783339 12149872 12323816 18224808 18485724 21566678 24647632 32350017 36449616 36971448 43133356 64700034 73942896 86266712 127859591 129400068 172533424 255719182 258800136 383578773 511438364 517600272 767157546 895017137 1022876728 1534315092 1790034274 2013403439 2045753456 2685051411 3068630184 3580068548 4026806878 5370102822 6040210317 6137260368 7160137096 8053613756 10740205644 12080420634 14093824073 14320274192 16107227512 21480411288 24160841268 28187648146 32214455024 42281472219 42960822576 48321682536 56375296292 84562944438 96643365072 112750592584 167112485437 169125888876 225501185168 334224970874 338251777752 501337456311 668449941748 676503555504 1002674912622 1169787398059 1336899883496 2005349825244 2339574796118 2673799766992 3509362194177 4010699650488 4679149592236 7018724388354 8021399300976 9358299184472 14037448776708 18716598368944 28074897553416 56149795106832