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152115736352 = 2543227659739
BaseRepresentation
bin1000110110101011001…
…1011110111100100000
3112112122012121001112012
42031222303132330200
54443013112030402
6153514144052052
713663366265546
oct2155263367440
9475565531465
10152115736352
115956a405198
1225593304028
13114629b9b68
147510775d96
153e54704452
hex236acdef20

152115736352 has 96 divisors (see below), whose sum is σ = 308676614400. Its totient is φ = 73749650688.

The previous prime is 152115736343. The next prime is 152115736361. The reversal of 152115736352 is 253637511251.

It is an interprime number because it is at equal distance from previous prime (152115736343) and next prime (152115736361).

It is a super-2 number, since 2×1521157363522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205839599 + ... + 205840337.

It is an arithmetic number, because the mean of its divisors is an integer number (3215381400).

Almost surely, 2152115736352 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 152115736352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154338307200).

152115736352 is an abundant number, since it is smaller than the sum of its proper divisors (156560878048).

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

152115736352 is a wasteful number, since it uses less digits than its factorization.

152115736352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1670 counting only the distinct ones).

The product of its digits is 189000, while the sum is 41.

The spelling of 152115736352 in words is "one hundred fifty-two billion, one hundred fifteen million, seven hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 86 172 227 344 454 659 688 739 908 1318 1376 1478 1816 2636 2956 3632 5272 5912 7264 9761 10544 11824 19522 21088 23648 28337 31777 39044 56674 63554 78088 113348 127108 149593 156176 167753 226696 254216 299186 312352 335506 453392 487001 508432 598372 671012 906784 974002 1016864 1196744 1342024 1948004 2393488 2684048 3896008 4786976 5368096 6432499 7213379 7792016 12864998 14426758 15584032 20941043 25729996 28853516 41882086 51459992 57707032 83764172 102919984 110549227 115414064 167528344 205839968 221098454 230828128 335056688 442196908 670113376 884393816 1768787632 3537575264 4753616761 9507233522 19014467044 38028934088 76057868176 152115736352