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3924292676164 = 2272127405138917
BaseRepresentation
bin111001000110110010000…
…100100010101001000100
3111220011021201000011121021
4321012302010202221010
51003243422411114124
612202443431200524
7553343426242300
oct71066204425104
914804251004537
103924292676164
111283312a00743
12534679816144
132260a011a6b3
14d7d18742d00
156c12e7c57e4
hex391b2122a44

3924292676164 has 72 divisors (see below), whose sum is σ = 8053836628992. Its totient is φ = 1668142123200.

The previous prime is 3924292676153. The next prime is 3924292676167. The reversal of 3924292676164 is 4616762924293.

It is not an unprimeable number, because it can be changed into a prime (3924292676167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100818034 + ... + 100856950.

Almost surely, 23924292676164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3924292676164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026918314496).

3924292676164 is an abundant number, since it is smaller than the sum of its proper divisors (4129543952828).

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

3924292676164 is a wasteful number, since it uses less digits than its factorization.

3924292676164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43113 (or 43104 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 61.

The spelling of 3924292676164 in words is "three trillion, nine hundred twenty-four billion, two hundred ninety-two million, six hundred seventy-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 127 196 254 508 889 1778 3556 4051 6223 8102 12446 16204 24892 28357 38917 56714 77834 113428 155668 198499 272419 396998 514477 544838 793996 1028954 1089676 1906933 2057908 3601339 3813866 4942459 7202678 7627732 9884918 14405356 19769836 25209373 34597213 50418746 69194426 100837492 138388852 157652767 242180491 315305534 484360982 630611068 968721964 1103569369 2207138738 4414277476 7724985583 15449971166 20021901409 30899942332 40043802818 80087605636 140153309863 280306619726 560613239452 981073169041 1962146338082 3924292676164