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77697649149129 = 349794032
BaseRepresentation
bin10001101010101001100100…
…110001110000010011001001
3101012002211012202112112210000
4101222221210301300103021
540140444241140233004
6433125450211313213
722236320114565162
oct2152514461602311
9335084182475700
1077697649149129
112283642a409aa9
12886a3a95ab809
133447b1a731639
14152882ca98769
158eb162bd3c39
hex46aa64c704c9

77697649149129 has 15 divisors (see below), whose sum is σ = 116066977113373. Its totient is φ = 51798379878324.

The previous prime is 77697649149083. The next prime is 77697649149187. The reversal of 77697649149129 is 92194194679677.

The square root of 77697649149129 is 8814627.

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

77697649149129 is a `hidden beast` number, since 7 + 7 + 6 + 9 + 76 + 491 + 49 + 12 + 9 = 666.

It is not a de Polignac number, because 77697649149129 - 211 = 77697649147081 is a prime.

It is a super-2 number, since 2×776976491491292 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77697649149529) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 78841942 + ... + 79821344.

Almost surely, 277697649149129 is an apocalyptic number.

77697649149129 is the 8814627-th square number.

77697649149129 is the 4407314-th centered octagonal number.

It is an amenable number.

77697649149129 is a deficient number, since it is larger than the sum of its proper divisors (38369327964244).

77697649149129 is an frugal number, since it uses more digits than its factorization.

77697649149129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958818 (or 979406 counting only the distinct ones).

The product of its digits is 2592487296, while the sum is 81.

77697649149129 divided by its sum of digits (81) gives a square (959230236409 = 9794032).

The spelling of 77697649149129 in words is "seventy-seven trillion, six hundred ninety-seven billion, six hundred forty-nine million, one hundred forty-nine thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 81 979403 2938209 8814627 26443881 79331643 959230236409 2877690709227 8633072127681 25899216383043 77697649149129