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11718279001 = 1121327572
BaseRepresentation
bin10101110100111011…
…01011111101011001
31010020200000020210101
422322131223331121
5142444334412001
65214443215401
7563250504502
oct127235537531
933220006711
1011718279001
114a73732500
122330517561
131149996a00
147d2445ba9
15488b72a01
hex2ba76bf59

11718279001 has 27 divisors (see below), whose sum is σ = 13965888573. Its totient is φ = 9820530720.

The previous prime is 11718278987. The next prime is 11718279011. The reversal of 11718279001 is 10097281711.

The square root of 11718279001 is 108251.

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 843960601 + 10874318400 = 29051^2 + 104280^2 .

It is not a de Polignac number, because 11718279001 - 217 = 11718147929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11718279011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15479515 + ... + 15480271.

Almost surely, 211718279001 is an apocalyptic number.

11718279001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11718279001 is the 108251-st square number.

11718279001 is the 54126-th centered octagonal number.

It is an amenable number.

11718279001 is a deficient number, since it is larger than the sum of its proper divisors (2247609572).

11718279001 is an frugal number, since it uses more digits than its factorization.

11718279001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 37.

Multiplying 11718279001 by its product of nonzero digits (7056), we get a square (82684176631056 = 90930842).

The spelling of 11718279001 in words is "eleven billion, seven hundred eighteen million, two hundred seventy-nine thousand, one".

Divisors: 1 11 13 121 143 169 757 1573 1859 8327 9841 20449 91597 108251 127933 573049 1190761 1407263 6303539 7449637 15479893 69338929 81946007 96845281 901406077 1065298091 11718279001