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13665125106 = 2321788142457
BaseRepresentation
bin11001011101000000…
…10100001011110010
31022021100100021120200
430232200110023302
5210441233000411
610135551020030
7662430434613
oct145640241362
938240307520
1013665125106
115882674826
12279450a616
13139a120259
14938c25c0a
1554ea35e56
hex32e8142f2

13665125106 has 24 divisors (see below), whose sum is σ = 29610124284. Its totient is φ = 4554679680.

The previous prime is 13665125083. The next prime is 13665125107. The reversal of 13665125106 is 60152156631.

13665125106 is a `hidden beast` number, since 1 + 36 + 6 + 512 + 5 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13191671025 + 473454081 = 114855^2 + 21759^2 .

It is a super-2 number, since 2×136651251062 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13665125107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300630 + ... + 343086.

Almost surely, 213665125106 is an apocalyptic number.

13665125106 is an abundant number, since it is smaller than the sum of its proper divisors (15944999178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13665125106 is a wasteful number, since it uses less digits than its factorization.

13665125106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60346 (or 60343 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13665125106 in words is "thirteen billion, six hundred sixty-five million, one hundred twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 17881 35762 42457 53643 84914 107286 127371 160929 254742 321858 382113 764226 759173617 1518347234 2277520851 4555041702 6832562553 13665125106