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16214457672 = 2332732171543
BaseRepresentation
bin11110001100111010…
…01111110101001000
31112212000100210102100
433012131033311020
5231201400121142
611240540033400
71112544421230
oct170635176510
945760323370
1016214457672
116970703046
123186232860
1316b533306a
14adb638cc0
1564d758b4c
hex3c674fd48

16214457672 has 48 divisors (see below), whose sum is σ = 50187608640. Its totient is φ = 4632702048.

The previous prime is 16214457647. The next prime is 16214457689. The reversal of 16214457672 is 27675441261.

16214457672 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 4 + 4 + 576 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 16085268 + ... + 16086275.

It is an arithmetic number, because the mean of its divisors is an integer number (1045575180).

Almost surely, 216214457672 is an apocalyptic number.

16214457672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16214457672 is an abundant number, since it is smaller than the sum of its proper divisors (33973150968).

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

16214457672 is a wasteful number, since it uses less digits than its factorization.

16214457672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32171562 (or 32171555 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 16214457672 in words is "sixteen billion, two hundred fourteen million, four hundred fifty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 32171543 64343086 96514629 128686172 193029258 225200801 257372344 289543887 386058516 450401602 579087774 675602403 772117032 900803204 1158175548 1351204806 1801606408 2026807209 2316351096 2702409612 4053614418 5404819224 8107228836 16214457672