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113762520369 = 321124292
BaseRepresentation
bin110100111110011000…
…1100100110100110001
3101212122022020211000100
41221330301210310301
53330441201122434
6124132313343013
711135066316411
oct1517461446461
9355568224010
10113762520369
1144278a82383
121a06aa07a69
13a95cb70a14
145712b9a641
152e5c5ad699
hex1a7cc64d31

113762520369 has 9 divisors (see below), whose sum is σ = 164325102123. Its totient is φ = 75841005672.

The previous prime is 113762520359. The next prime is 113762520409. The reversal of 113762520369 is 963025267311.

The square root of 113762520369 is 337287.

It is a perfect power (a square), and thus also a powerful number.

113762520369 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 62 + 520 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83340183969 + 30422336400 = 288687^2 + 174420^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 113762520369 - 27 = 113762520241 is a prime.

It is a super-2 number, since 2×1137625203692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113762520359) 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 8 ways as a sum of consecutive naturals, for example, 955647 + ... + 1068075.

Almost surely, 2113762520369 is an apocalyptic number.

113762520369 is the 337287-th square number.

113762520369 is the 168644-th centered octagonal number.

It is an amenable number.

113762520369 is a deficient number, since it is larger than the sum of its proper divisors (50562581754).

113762520369 is an frugal number, since it uses more digits than its factorization.

113762520369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224864 (or 112432 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 113762520369 in words is "one hundred thirteen billion, seven hundred sixty-two million, five hundred twenty thousand, three hundred sixty-nine".

Divisors: 1 3 9 112429 337287 1011861 12640280041 37920840123 113762520369