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113286769561 = 7468692
BaseRepresentation
bin110100110000001101…
…0101110101110011001
3101211102011001011121001
41221200122232232121
53324002403111221
6124013200345001
711120231440000
oct1514032565631
9354364034531
10113286769561
1144054478799
1219b57615161
13a8b5429174
1456a9917c37
152e30935391
hex1a606aeb99

113286769561 has 15 divisors (see below), whose sum is σ = 132179276831. Its totient is φ = 97088808936.

The previous prime is 113286769529. The next prime is 113286769573. The reversal of 113286769561 is 165967682311.

The square root of 113286769561 is 336581.

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

It can be written as a sum of positive squares in only one way, i.e., 1610497161 + 111676272400 = 40131^2 + 334180^2 .

It is not a de Polignac number, because 113286769561 - 25 = 113286769529 is a prime.

It is a super-2 number, since 2×1132867695612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113286769511) 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 14 ways as a sum of consecutive naturals, for example, 16489035 + ... + 16495903.

Almost surely, 2113286769561 is an apocalyptic number.

113286769561 is the 336581-st square number.

113286769561 is the 168291-st centered octagonal number.

It is an amenable number.

113286769561 is a deficient number, since it is larger than the sum of its proper divisors (18892507270).

113286769561 is an frugal number, since it uses more digits than its factorization.

113286769561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766 (or 6876 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The spelling of 113286769561 in words is "one hundred thirteen billion, two hundred eighty-six million, seven hundred sixty-nine thousand, five hundred sixty-one".

Divisors: 1 7 49 343 2401 6869 48083 336581 2356067 16492469 47183161 330282127 2311974889 16183824223 113286769561