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107639767225 = 52656172
BaseRepresentation
bin110010000111111010…
…1001000000010111001
3101021211121012201200101
41210033311020002321
53230421240022400
6121240553435401
710530261632224
oct1441765100271
9337747181611
10107639767225
114171692a311
1218a4040bb61
13a1c5525b73
1452d19565bb
152beecc956a
hex190fd480b9

107639767225 has 9 divisors (see below), whose sum is σ = 133475345517. Its totient is φ = 86110501440.

The previous prime is 107639767199. The next prime is 107639767259. The reversal of 107639767225 is 522767936701.

The square root of 107639767225 is 328085.

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 31660152489 + 75979614736 = 177933^2 + 275644^2 .

It is not a de Polignac number, because 107639767225 - 219 = 107639242937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1607617 + ... + 1673233.

Almost surely, 2107639767225 is an apocalyptic number.

107639767225 is the 328085-th square number.

107639767225 is the 164043-rd centered octagonal number.

It is an amenable number.

107639767225 is a deficient number, since it is larger than the sum of its proper divisors (25835578292).

107639767225 is an frugal number, since it uses more digits than its factorization.

107639767225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131244 (or 65622 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 55.

The spelling of 107639767225 in words is "one hundred seven billion, six hundred thirty-nine million, seven hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 65617 328085 1640425 4305590689 21527953445 107639767225