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19414086720 = 263572889001
BaseRepresentation
bin10010000101001010…
…110111010001000000
31212010000000210022220
4102011022313101000
5304230001233340
612530235131040
71255046004630
oct220512672100
955100023286
1019414086720
118262822776
1239198a3a80
131aa51a1aa2
14d225686c0
157895d1ed0
hex4852b7440

19414086720 has 112 divisors (see below), whose sum is σ = 70445424768. Its totient is φ = 4437504000.

The previous prime is 19414086647. The next prime is 19414086749. The reversal of 19414086720 is 2768041491.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437781 + ... + 1451220.

Almost surely, 219414086720 is an apocalyptic number.

19414086720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19414086720 is an abundant number, since it is smaller than the sum of its proper divisors (51031338048).

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

19414086720 is a wasteful number, since it uses less digits than its factorization.

19414086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889028 (or 2889018 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 19414086720 in words is "nineteen billion, four hundred fourteen million, eighty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 2889001 5778002 8667003 11556004 14445005 17334006 20223007 23112008 28890010 34668012 40446014 43335015 46224016 57780020 60669021 69336024 80892028 86670030 92448032 101115035 115560040 121338042 138672048 161784056 173340060 184896064 202230070 231120080 242676084 277344096 303345105 323568112 346680120 404460140 462240160 485352168 554688192 606690210 647136224 693360240 808920280 924480320 970704336 1213380420 1294272448 1386720480 1617840560 1941408672 2426760840 2773440960 3235681120 3882817344 4853521680 6471362240 9707043360 19414086720