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12953000626 = 2293747167769
BaseRepresentation
bin11000001000000111…
…10001101010110010
31020102201100121102221
430010003301222302
5203011432010001
65541151431254
7635662455136
oct140403615262
936381317387
1012953000626
1155476a40a5
122615b2552a
1312b5727317
148ac4133c6
1550c26b1a1
hex3040f1ab2

12953000626 has 64 divisors (see below), whose sum is σ = 21235737600. Its totient is φ = 5911363584.

The previous prime is 12953000623. The next prime is 12953000677. The reversal of 12953000626 is 62600035921.

It is a junction number, because it is equal to n+sod(n) for n = 12953000591 and 12953000600.

It is not an unprimeable number, because it can be changed into a prime (12953000623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16843570 + ... + 16844338.

It is an arithmetic number, because the mean of its divisors is an integer number (331808400).

Almost surely, 212953000626 is an apocalyptic number.

12953000626 is the 56906-th decagonal number.

12953000626 is a deficient number, since it is larger than the sum of its proper divisors (8282736974).

12953000626 is a wasteful number, since it uses less digits than its factorization.

12953000626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051.

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 12953000626 in words is "twelve billion, nine hundred fifty-three million, six hundred twenty-six", and thus it is an aban number.

Divisors: 1 2 29 37 47 58 74 94 167 334 769 1073 1363 1538 1739 2146 2726 3478 4843 6179 7849 9686 12358 15698 22301 28453 36143 44602 50431 56906 72286 100862 128423 179191 227621 256846 290413 358382 455242 580826 825137 1048147 1337291 1650274 2096294 2674582 3724267 4751651 6035881 7448534 8421977 9503302 12071762 16843954 38781439 77562878 137797879 175040549 223327597 275595758 350081098 446655194 6476500313 12953000626