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10627148714 = 272138341561
BaseRepresentation
bin10011110010110110…
…10110101110101010
31000102121212002102112
421321123112232222
5133231022224324
64514304402322
7524231162600
oct117133265652
930377762375
1010627148714
114563826136
1220870163a2
1310049002a0
1472b575870
15422e8ec0e
hex2796d6baa

10627148714 has 24 divisors (see below), whose sum is σ = 19969699428. Its totient is φ = 4204146240.

The previous prime is 10627148711. The next prime is 10627148737. The reversal of 10627148714 is 41784172601.

It can be written as a sum of positive squares in 2 ways, for example, as 7755796489 + 2871352225 = 88067^2 + 53585^2 .

It is a super-2 number, since 2×106271487142 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10627148711) 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, 4169507 + ... + 4172054.

Almost surely, 210627148714 is an apocalyptic number.

10627148714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10627148714 is a deficient number, since it is larger than the sum of its proper divisors (9342550714).

10627148714 is a wasteful number, since it uses less digits than its factorization.

10627148714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341590 (or 8341583 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 10627148714 in words is "ten billion, six hundred twenty-seven million, one hundred forty-eight thousand, seven hundred fourteen".

Divisors: 1 2 7 13 14 26 49 91 98 182 637 1274 8341561 16683122 58390927 108440293 116781854 216880586 408736489 759082051 817472978 1518164102 5313574357 10627148714