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152023542064 = 24191825327397
BaseRepresentation
bin1000110110010101001…
…1110010100100110000
3112112101210010002201221
42031211103302210300
54442321011321224
6153501052034424
713661166533542
oct2154523624460
9475353102657
10152023542064
1159522365269
1225568462a14
131144987a224
147502417692
153e4b5926e4
hex23654f2930

152023542064 has 40 divisors (see below), whose sum is σ = 310076317040. Its totient is φ = 72004578048.

The previous prime is 152023542061. The next prime is 152023542119. The reversal of 152023542064 is 460245320251.

It is a super-2 number, since 2×1520235420642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152023542061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5535214 + ... + 5562610.

It is an arithmetic number, because the mean of its divisors is an integer number (7751907926).

Almost surely, 2152023542064 is an apocalyptic number.

It is an amenable number.

152023542064 is an abundant number, since it is smaller than the sum of its proper divisors (158052774976).

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

152023542064 is a wasteful number, since it uses less digits than its factorization.

152023542064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45677 (or 45671 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 152023542064 in words is "one hundred fifty-two billion, twenty-three million, five hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 18253 27397 36506 54794 73012 109588 146024 219176 292048 346807 438352 520543 693614 1041086 1387228 2082172 2774456 4164344 5548912 8328688 500077441 1000154882 2000309764 4000619528 8001239056 9501471379 19002942758 38005885516 76011771032 152023542064