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152797794016 = 2571098397459
BaseRepresentation
bin1000111001001101110…
…1010100111011100000
3112121101202000011202011
42032103131110323200
510000412213402031
6154105551002304
714016320551060
oct2162335247340
9477352004664
10152797794016
115988a40a20a
1225743809394
13115410b658a
14757719d3a0
153e945306b1
hex2393754ee0

152797794016 has 96 divisors (see below), whose sum is σ = 347409216000. Its totient is φ = 64797967872.

The previous prime is 152797794011. The next prime is 152797794041. The reversal of 152797794016 is 610497797251.

It is a happy number.

152797794016 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 not an unprimeable number, because it can be changed into a prime (152797794011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20481295 + ... + 20488753.

It is an arithmetic number, because the mean of its divisors is an integer number (3618846000).

Almost surely, 2152797794016 is an apocalyptic number.

152797794016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152797794016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173704608000).

152797794016 is an abundant number, since it is smaller than the sum of its proper divisors (194611421984).

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

152797794016 is a wasteful number, since it uses less digits than its factorization.

152797794016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 58.

The spelling of 152797794016 in words is "one hundred fifty-two billion, seven hundred ninety-seven million, seven hundred ninety-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 839 872 1526 1678 1744 3052 3356 3488 5873 6104 6712 7459 11746 12208 13424 14918 23492 24416 26848 29836 46984 52213 59672 91451 93968 104426 119344 182902 187936 208852 238688 365804 417704 640157 731608 813031 835408 1280314 1463216 1626062 1670816 2560628 2926432 3252124 5121256 5691217 6258101 6504248 10242512 11382434 12516202 13008496 20485024 22764868 25032404 26016992 43806707 45529736 50064808 87613414 91059472 100129616 175226828 182118944 200259232 350453656 682133009 700907312 1364266018 1401814624 2728532036 4774931063 5457064072 9549862126 10914128144 19099724252 21828256288 38199448504 76398897008 152797794016