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14716831920 = 2435741213659
BaseRepresentation
bin11011011010011000…
…10000100010110000
31101222122022112002220
431231030100202300
5220120002110140
610432200441040
71030461002340
oct155514204260
941878275086
1014716831920
1162722a470a
122a28779180
131506c9268b
149d8792d20
155b202cbd0
hex36d3108b0

14716831920 has 160 divisors (see below), whose sum is σ = 53411581440. Its totient is φ = 3281786880.

The previous prime is 14716831897. The next prime is 14716831937. The reversal of 14716831920 is 2913861741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37950 + ... + 175709.

It is an arithmetic number, because the mean of its divisors is an integer number (333822384).

Almost surely, 214716831920 is an apocalyptic number.

14716831920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14716831920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26705790720).

14716831920 is an abundant number, since it is smaller than the sum of its proper divisors (38694749520).

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

14716831920 is a wasteful number, since it uses less digits than its factorization.

14716831920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213723 (or 213717 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 14716831920 in words is "fourteen billion, seven hundred sixteen million, eight hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2296 2460 2870 3280 3444 4305 4592 4920 5740 6888 8610 9840 11480 13776 17220 22960 34440 68880 213659 427318 640977 854636 1068295 1281954 1495613 1709272 2136590 2563908 2991226 3204885 3418544 4273180 4486839 5127816 5982452 6409770 7478065 8546360 8760019 8973678 10255632 11964904 12819540 14956130 17092720 17520038 17947356 22434195 23929808 25639080 26280057 29912260 35040076 35894712 43800095 44868390 51278160 52560114 59824520 61320133 70080152 71789424 87600190 89736780 105120228 119649040 122640266 131400285 140160304 175200380 179473560 183960399 210240456 245280532 262800570 306600665 350400760 358947120 367920798 420480912 490561064 525601140 613201330 700801520 735841596 919801995 981122128 1051202280 1226402660 1471683192 1839603990 2102404560 2452805320 2943366384 3679207980 4905610640 7358415960 14716831920