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11626641972 = 223211171727071
BaseRepresentation
bin10101101010000000…
…00111101000110100
31010000021120121102100
422311000013220310
5142302410020342
65201411142100
7561055553241
oct126500075064
933007517370
1011626641972
114a26a33220
1223058a4930
1311339c090a
147c41d05c8
15480ac0e4c
hex2b5007a34

11626641972 has 72 divisors (see below), whose sum is σ = 33947327232. Its totient is φ = 3315974400.

The previous prime is 11626641941. The next prime is 11626642009. The reversal of 11626641972 is 27914662611.

11626641972 is a `hidden beast` number, since 1 + 1 + 626 + 6 + 4 + 19 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856804 + ... + 870267.

It is an arithmetic number, because the mean of its divisors is an integer number (471490656).

Almost surely, 211626641972 is an apocalyptic number.

11626641972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11626641972 is an abundant number, since it is smaller than the sum of its proper divisors (22320685260).

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

11626641972 is a wasteful number, since it uses less digits than its factorization.

11626641972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727109 (or 1727104 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 11626641972 in words is "eleven billion, six hundred twenty-six million, six hundred forty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 1727071 3454142 5181213 6908284 10362426 15543639 18997781 20724852 29360207 31087278 37995562 56993343 58720414 62174556 75991124 88080621 113986686 117440828 170980029 176161242 227973372 264241863 322962277 341960058 352322484 528483726 645924554 683920116 968886831 1056967452 1291849108 1937773662 2906660493 3875547324 5813320986 11626641972