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19142079705 = 335723880703
BaseRepresentation
bin10001110100111101…
…001111010011011001
31211102001012101212000
4101310331033103121
5303200333022310
612443241111213
71245233664360
oct216475172331
954361171760
1019142079705
118133228891
123862788509
131a60a255a8
14cd83a07d7
157707a24c0
hex474f4f4d9

19142079705 has 64 divisors (see below), whose sum is σ = 40582840320. Its totient is φ = 8370191808.

The previous prime is 19142079689. The next prime is 19142079721. The reversal of 19142079705 is 50797024191.

19142079705 is a `hidden beast` number, since 1 + 91 + 420 + 79 + 70 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (19142079689) and next prime (19142079721).

It is not a de Polignac number, because 19142079705 - 24 = 19142079689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418617 + ... + 462086.

It is an arithmetic number, because the mean of its divisors is an integer number (634106880).

Almost surely, 219142079705 is an apocalyptic number.

19142079705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19142079705 is an abundant number, since it is smaller than the sum of its proper divisors (21440760615).

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

19142079705 is a wasteful number, since it uses less digits than its factorization.

19142079705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880747 (or 880741 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 19142079705 in words is "nineteen billion, one hundred forty-two million, seventy-nine thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 621 805 945 1035 1449 2415 3105 4347 7245 21735 880703 2642109 4403515 6164921 7926327 13210545 18494763 20256169 23778981 30824605 39631635 55484289 60768507 92473815 101280845 118894905 141793183 166452867 182305521 277421445 303842535 425379549 546916563 708965915 832264335 911527605 1276138647 2126897745 2734582815 3828415941 6380693235 19142079705