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152212021696 = 2673110959967
BaseRepresentation
bin1000110111000010001…
…0110010000111000000
3112112212220202212012001
42031300202302013000
54443212234143241
6153531503513344
713665645560050
oct2156042620700
9475786685161
10152212021696
1159609799859
12255bb5b8854
131147992c937
14751d47b560
153e5cdc3431
hex23708b21c0

152212021696 has 56 divisors (see below), whose sum is σ = 356330479616. Its totient is φ = 63129404160.

The previous prime is 152212021681. The next prime is 152212021699. The reversal of 152212021696 is 696120212251.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152212021699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5466096 + ... + 5493871.

Almost surely, 2152212021696 is an apocalyptic number.

152212021696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152212021696 is an abundant number, since it is smaller than the sum of its proper divisors (204118457920).

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

152212021696 is a wasteful number, since it uses less digits than its factorization.

152212021696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10960017 (or 10960007 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 152212021696 in words is "one hundred fifty-two billion, two hundred twelve million, twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 10959967 21919934 43839868 76719769 87679736 153439538 175359472 306879076 339758977 350718944 613758152 679517954 701437888 1227516304 1359035908 2378312839 2455032608 2718071816 4756625678 4910065216 5436143632 9513251356 10872287264 19026502712 21744574528 38053005424 76106010848 152212021696