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152012271593 = 72132171079809
BaseRepresentation
bin1000110110010010100…
…0110010111111101001
3112112100222220111120002
42031210220302333221
54442310120142333
6153500010312345
713661001663200
oct2154450627751
9475328814502
10152012271593
1159516a67626
12255647286b5
1311447432300
147500b22237
153e4a5b80e8
hex2364a32fe9

152012271593 has 36 divisors (see below), whose sum is σ = 202742965980. Its totient is φ = 113198432256.

The previous prime is 152012271589. The next prime is 152012271611. The reversal of 152012271593 is 395172210251.

It can be written as a sum of positive squares in 6 ways, for example, as 21248309824 + 130763961769 = 145768^2 + 361613^2 .

It is not a de Polignac number, because 152012271593 - 22 = 152012271589 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (152012271563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 399128 + ... + 680681.

It is an arithmetic number, because the mean of its divisors is an integer number (5631749055).

Almost surely, 2152012271593 is an apocalyptic number.

152012271593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

152012271593 is a deficient number, since it is larger than the sum of its proper divisors (50730694387).

152012271593 is a wasteful number, since it uses less digits than its factorization.

152012271593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079866 (or 1079846 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 152012271593 in words is "one hundred fifty-two billion, twelve million, two hundred seventy-one thousand, five hundred ninety-three".

Divisors: 1 7 13 17 49 91 119 169 221 637 833 1183 1547 2873 8281 10829 20111 140777 1079809 7558663 14037517 18356753 52910641 98262619 128497271 182487721 238637789 687838333 899480897 1277414047 1670464523 3102291257 8941898329 11693251661 21716038799 152012271593