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42014625624 = 23323118823757
BaseRepresentation
bin100111001000010001…
…000100111101011000
311000110001221010022100
4213020101010331120
51142021221004444
631145023123400
73015106265616
oct471021047530
9130401833270
1042014625624
11169001850a4
128186743560
133c6757aa2a
142067d926b6
15115d7d7e69
hex9c8444f58

42014625624 has 48 divisors (see below), whose sum is σ = 117460249920. Its totient is φ = 13553104320.

The previous prime is 42014625613. The next prime is 42014625689. The reversal of 42014625624 is 42652641024.

42014625624 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 4 + 6 + 25 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9409647 + ... + 9414110.

It is an arithmetic number, because the mean of its divisors is an integer number (2447088540).

Almost surely, 242014625624 is an apocalyptic number.

It is an amenable number.

42014625624 is an abundant number, since it is smaller than the sum of its proper divisors (75445624296).

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

42014625624 is a wasteful number, since it uses less digits than its factorization.

42014625624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18823800 (or 18823793 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 42014625624 in words is "forty-two billion, fourteen million, six hundred twenty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 18823757 37647514 56471271 75295028 112942542 150590056 169413813 225885084 338827626 451770168 583536467 677655252 1167072934 1355310504 1750609401 2334145868 3501218802 4668291736 5251828203 7002437604 10503656406 14004875208 21007312812 42014625624