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14792640625 = 56721392
BaseRepresentation
bin11011100011011010…
…11100100001110001
31102011220222000002201
431301231130201301
5220243404000000
610443505343201
71032401241100
oct156155344161
942156860081
1014792640625
116301072934
122a4a037b01
1315198b60b9
14a04888037
155b8a0496a
hex371b5c871

14792640625 has 63 divisors (see below), whose sum is σ = 21665289087. Its totient is φ = 10070550000.

The previous prime is 14792640619. The next prime is 14792640673. The reversal of 14792640625 is 52604629741.

The square root of 14792640625 is 121625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 12959773281 + 1832867344 = 113841^2 + 42812^2 .

It is not a de Polignac number, because 14792640625 - 215 = 14792607857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 106421806 + ... + 106421944.

Almost surely, 214792640625 is an apocalyptic number.

14792640625 is the 121625-th square number.

14792640625 is the 60813-rd centered octagonal number.

It is an amenable number.

14792640625 is a deficient number, since it is larger than the sum of its proper divisors (6872648462).

14792640625 is an frugal number, since it uses more digits than its factorization.

14792640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 14792640625 in words is "fourteen billion, seven hundred ninety-two million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 139 175 245 625 695 875 973 1225 3125 3475 4375 4865 6125 6811 15625 17375 19321 21875 24325 30625 34055 86875 96605 109375 121625 135247 153125 170275 434375 483025 608125 676235 765625 851375 946729 2171875 2415125 3040625 3381175 4256875 4733645 12075625 15203125 16905875 21284375 23668225 60378125 84529375 106421875 118341125 301890625 422646875 591705625 2113234375 2958528125 14792640625