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152127596061 = 32723472233787
BaseRepresentation
bin1000110110101110000…
…0101110011000011101
3112112200000220120222200
42031223200232120131
54443024131033221
6153515250202113
713663602142140
oct2155340563035
9475600816880
10152127596061
1159576075601
1225597283339
13114652b003c
147512182057
153e55798426
hex236b82e61d

152127596061 has 48 divisors (see below), whose sum is σ = 267625672704. Its totient is φ = 81381291552.

The previous prime is 152127596051. The next prime is 152127596081. The reversal of 152127596061 is 160695721251.

It is a happy number.

152127596061 is a `hidden beast` number, since 1 + 52 + 1 + 2 + 7 + 596 + 0 + 6 + 1 = 666.

152127596061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152127596061 - 27 = 152127595933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152127595998 and 152127596016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152127596041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048791 + ... + 1184996.

It is an arithmetic number, because the mean of its divisors is an integer number (5575534848).

Almost surely, 2152127596061 is an apocalyptic number.

It is an amenable number.

152127596061 is a deficient number, since it is larger than the sum of its proper divisors (115498076643).

152127596061 is a wasteful number, since it uses less digits than its factorization.

152127596061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233870 (or 2233867 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 152127596061 in words is "one hundred fifty-two billion, one hundred twenty-seven million, five hundred ninety-six thousand, sixty-one".

Divisors: 1 3 7 9 21 23 47 63 69 141 161 207 329 423 483 987 1081 1449 2961 3243 7567 9729 22701 68103 2233787 6701361 15636509 20104083 46909527 51377101 104987989 140728581 154131303 314963967 359639707 462393909 734915923 944891901 1078919121 2204747769 2414723747 3236757363 6614243307 7244171241 16903066229 21732513723 50709198687 152127596061