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152221616352 = 25321340657483
BaseRepresentation
bin1000110111000100011…
…1011000100011100000
3112112220120211022120200
42031301013120203200
54443222213210402
6153532445305200
713666123250601
oct2156107304340
9475816738520
10152221616352
1159614152423
1225602865200
131147b90bb50
147520857da8
153e5db6b21c
hex23711d88e0

152221616352 has 72 divisors (see below), whose sum is σ = 466178711544. Its totient is φ = 46837419264.

The previous prime is 152221616299. The next prime is 152221616377. The reversal of 152221616352 is 253616122251.

152221616352 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 2 + 1 + 616 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20324998 + ... + 20332485.

It is an arithmetic number, because the mean of its divisors is an integer number (6474704327).

Almost surely, 2152221616352 is an apocalyptic number.

152221616352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152221616352 is an abundant number, since it is smaller than the sum of its proper divisors (313957095192).

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

152221616352 is a wasteful number, since it uses less digits than its factorization.

152221616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40657512 (or 40657501 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 152221616352 in words is "one hundred fifty-two billion, two hundred twenty-one million, six hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 40657483 81314966 121972449 162629932 243944898 325259864 365917347 487889796 528547279 650519728 731834694 975779592 1057094558 1301039456 1463669388 1585641837 1951559184 2114189116 2927338776 3171283674 3903118368 4228378232 4756925511 5854677552 6342567348 8456756464 9513851022 11709355104 12685134696 16913512928 19027702044 25370269392 38055404088 50740538784 76110808176 152221616352