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12677634025 = 527232172
BaseRepresentation
bin10111100111010010…
…10101011111101001
31012201112012112110221
423303221111133221
5201430433242100
65453553410041
7626110053100
oct136351253751
935645175427
1012677634025
1154162150a1
122559869921
1312706728c4
14883a13037
154e2ec601a
hex2f3a557e9

12677634025 has 27 divisors (see below), whose sum is σ = 18292526469. Its totient is φ = 8690532480.

The previous prime is 12677633959. The next prime is 12677634041. The reversal of 12677634025 is 52043677621.

The square root of 12677634025 is 112595.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1291036761 + 11386597264 = 35931^2 + 106708^2 .

It is not a de Polignac number, because 12677634025 - 217 = 12677502953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3939217 + ... + 3942433.

Almost surely, 212677634025 is an apocalyptic number.

12677634025 is the 112595-th square number.

12677634025 is the 56298-th centered octagonal number.

It is an amenable number.

12677634025 is a deficient number, since it is larger than the sum of its proper divisors (5614892444).

12677634025 is an frugal number, since it uses more digits than its factorization.

12677634025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

It can be divided in two parts, 126776 and 34025, that added together give a square (160801 = 4012).

The spelling of 12677634025 in words is "twelve billion, six hundred seventy-seven million, six hundred thirty-four thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 3217 16085 22519 80425 112595 157633 562975 788165 3940825 10349089 51745445 72443623 258727225 362218115 507105361 1811090575 2535526805 12677634025