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152214396516 = 2232713373124567
BaseRepresentation
bin1000110111000010101…
…1110101111001100100
3112112220002020111211100
42031300223311321210
54443213341142031
6153532030440100
713666005010530
oct2156053657144
9475802214740
10152214396516
1159610071016
1225600363030
131147a281860
14751d8d8bc0
153e5d1e1de6
hex2370af5e64

152214396516 has 144 divisors (see below), whose sum is σ = 474829298944. Its totient is φ = 40036508928.

The previous prime is 152214396473. The next prime is 152214396553. The reversal of 152214396516 is 615693412251.

It is a happy number.

152214396516 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 1 + 43 + 96 + 516 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159665 + ... + 1284231.

Almost surely, 2152214396516 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 152214396516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237414649472).

152214396516 is an abundant number, since it is smaller than the sum of its proper divisors (322614902428).

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

152214396516 is a wasteful number, since it uses less digits than its factorization.

152214396516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124970 (or 124965 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 152214396516 in words is "one hundred fifty-two billion, two hundred fourteen million, three hundred ninety-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 373 468 546 746 819 1092 1119 1492 1638 2238 2611 3276 3357 4476 4849 5222 6714 7833 9698 10444 13428 14547 15666 19396 23499 29094 31332 33943 43641 46998 58188 67886 87282 93996 101829 124567 135772 174564 203658 249134 305487 373701 407316 498268 610974 747402 871969 1121103 1221948 1494804 1619371 1743938 2242206 2615907 3238742 3487876 4484412 4858113 5231814 6477484 7847721 9716226 10463628 11335597 14574339 15695442 19432452 22671194 29148678 31390884 34006791 45342388 46463491 58297356 68013582 92926982 102020373 136027164 139390473 185853964 204040746 278780946 325244437 408081492 418171419 557561892 604025383 650488874 836342838 975733311 1208050766 1300977748 1672685676 1812076149 1951466622 2416101532 2927199933 3624152298 3902933244 4228177681 5436228447 5854399866 7248304596 8456355362 10872456894 11708799732 12684533043 16912710724 21744913788 25369066086 38053599129 50738132172 76107198258 152214396516