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14634950625 = 325416132
BaseRepresentation
bin11011010000100111…
…11001111111100001
31101202221020112002100
431220103321333201
5214433021410000
610420113441013
71025445012351
oct155023717741
941687215070
1014634950625
116230059019
122a05270169
1314c3023bc9
149cb95ab61
155a9c56a00
hex3684f9fe1

14634950625 has 45 divisors (see below), whose sum is σ = 26432147599. Its totient is φ = 7800468000.

The previous prime is 14634950593. The next prime is 14634950639. The reversal of 14634950625 is 52605943641.

The square root of 14634950625 is 120975.

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

14634950625 is a `hidden beast` number, since 1 + 4 + 634 + 9 + 5 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 9586563921 + 5048386704 = 97911^2 + 71052^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 14634950625 - 25 = 14634950593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9072319 + ... + 9073931.

Almost surely, 214634950625 is an apocalyptic number.

14634950625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14634950625 is the 120975-th square number.

14634950625 is the 60488-th centered octagonal number.

It is an amenable number.

14634950625 is a deficient number, since it is larger than the sum of its proper divisors (11797196974).

14634950625 is an frugal number, since it uses more digits than its factorization.

14634950625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 14634950625 in words is "fourteen billion, six hundred thirty-four million, nine hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1613 1875 4839 5625 8065 14517 24195 40325 72585 120975 201625 362925 604875 1008125 1814625 2601769 3024375 7805307 9073125 13008845 23415921 39026535 65044225 117079605 195132675 325221125 585398025 975663375 1626105625 2926990125 4878316875 14634950625