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145525624164 = 22341014447061
BaseRepresentation
bin1000011110001000000…
…0001100110101100100
3111220121221010200010000
42013202000030311210
54341014024433124
6150504211101300
713341155252514
oct2074200146544
9456557120100
10145525624164
115679846a388
12242542a1830
13109525a7cab
147087435844
153bbada36c9
hex21e200cd64

145525624164 has 60 divisors (see below), whose sum is σ = 384199474428. Its totient is φ = 48028248000.

The previous prime is 145525624157. The next prime is 145525624171. The reversal of 145525624164 is 461426525541.

145525624164 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 5 + 624 + 16 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (145525624157) and next prime (145525624171).

It can be written as a sum of positive squares in 2 ways, for example, as 137746384164 + 7779240000 = 371142^2 + 88200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2190807 + ... + 2256254.

Almost surely, 2145525624164 is an apocalyptic number.

It is an amenable number.

145525624164 is an abundant number, since it is smaller than the sum of its proper divisors (238673850264).

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

145525624164 is a wasteful number, since it uses less digits than its factorization.

145525624164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447178 (or 4447167 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 145525624164 in words is "one hundred forty-five billion, five hundred twenty-five million, six hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 8181 10908 16362 32724 4447061 8894122 13341183 17788244 26682366 40023549 53364732 80047098 120070647 160094196 240141294 360211941 449153161 480282588 720423882 898306322 1347459483 1440847764 1796612644 2694918966 4042378449 5389837932 8084756898 12127135347 16169513796 24254270694 36381406041 48508541388 72762812082 145525624164