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3924720470664 = 23357241201819
BaseRepresentation
bin111001000111001011100…
…100011100101010001000
3111220012101111222101100000
4321013023210130222020
51003300311420030124
612202554112243000
7553360142365500
oct71071344345210
914805344871300
103924720470664
111283512430014
12534778b40460
1322613a941136
14d7d594a0a00
156c1571296c9
hex391cb91ca88

3924720470664 has 144 divisors (see below), whose sum is σ = 12822830420400. Its totient is φ = 1121348678688.

The previous prime is 3924720470599. The next prime is 3924720470677. The reversal of 3924720470664 is 4660740274293.

3924720470664 is a `hidden beast` number, since 3 + 92 + 4 + 7 + 20 + 470 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3924720470664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20505654 + ... + 20696165.

It is an arithmetic number, because the mean of its divisors is an integer number (89047433475).

Almost surely, 23924720470664 is an apocalyptic number.

It is an amenable number.

3924720470664 is an abundant number, since it is smaller than the sum of its proper divisors (8898109949736).

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

3924720470664 is a wasteful number, since it uses less digits than its factorization.

3924720470664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41201854 (or 41201831 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 3924720470664 in words is "three trillion, nine hundred twenty-four billion, seven hundred twenty million, four hundred seventy thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2646 3402 3528 3969 4536 5292 6804 7938 10584 11907 13608 15876 23814 31752 47628 95256 41201819 82403638 123605457 164807276 247210914 288412733 329614552 370816371 494421828 576825466 741632742 865238199 988843656 1112449113 1153650932 1483265484 1730476398 2018889131 2224898226 2307301864 2595714597 2966530968 3337347339 3460952796 4037778262 4449796452 5191429194 6056667393 6674694678 6921905592 7787143791 8075556524 8899592904 10012042017 10382858388 12113334786 13349389356 15574287582 16151113048 18170002179 20024084034 20765716776 23361431373 24226669572 26698778712 31148575164 36340004358 40048168068 46722862746 48453339144 54510006537 62297150328 70084294119 72680008716 80096336136 93445725492 109020013074 140168588238 145360017432 163530019611 186891450984 218040026148 280337176476 327060039222 436080052296 490590058833 560674352952 654120078444 981180117666 1308240156888 1962360235332 3924720470664