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76113636769 = 263210492
BaseRepresentation
bin100011011100010111…
…0011110110110100001
321021110111020100220001
41012320232132312201
52221340042334034
654544403220001
75333111144362
oct1067056366641
9237414210801
1076113636769
112a309188945
1212902377601
13723cc1cbc1
143980965b69
151ea71e3a14
hex11b8b9eda1

76113636769 has 9 divisors (see below), whose sum is σ = 76477047283. Its totient is φ = 75751948912.

The previous prime is 76113636737. The next prime is 76113636787. The reversal of 76113636769 is 96763631167.

The square root of 76113636769 is 275887.

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., 69030731169 + 7082905600 = 262737^2 + 84160^2 .

It is not a de Polignac number, because 76113636769 - 25 = 76113636737 is a prime.

It is a super-2 number, since 2×761136367692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76113636799) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72557757 + ... + 72558805.

Almost surely, 276113636769 is an apocalyptic number.

76113636769 is the 275887-th square number.

76113636769 is the 137944-th centered octagonal number.

It is an amenable number.

76113636769 is a deficient number, since it is larger than the sum of its proper divisors (363410514).

76113636769 is an frugal number, since it uses more digits than its factorization.

76113636769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 1312 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 55.

The spelling of 76113636769 in words is "seventy-six billion, one hundred thirteen million, six hundred thirty-six thousand, seven hundred sixty-nine".

Divisors: 1 263 1049 69169 275887 1100401 72558281 289405463 76113636769