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1914111432 = 23338861627
BaseRepresentation
bin111001000010111…
…0000010111001000
311221101201221021000
41302011300113020
512410003031212
6513534015000
765301451542
oct16205602710
94841657230
101914111432
118a2514282
12455047460
1324673491c
141422dc692
15b30991dc
hex721705c8

1914111432 has 32 divisors (see below), whose sum is σ = 5316976800. Its totient is φ = 638037072.

The previous prime is 1914111427. The next prime is 1914111469. The reversal of 1914111432 is 2341114191.

1914111432 is a `hidden beast` number, since 191 + 41 + 1 + 1 + 432 = 666.

It is a super-2 number, since 2×19141114322 = 7327645148226181248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1914111396 and 1914111405.

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 7 ways as a sum of consecutive naturals, for example, 4430598 + ... + 4431029.

It is an arithmetic number, because the mean of its divisors is an integer number (166155525).

Almost surely, 21914111432 is an apocalyptic number.

1914111432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1914111432 is an abundant number, since it is smaller than the sum of its proper divisors (3402865368).

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

1914111432 is a wasteful number, since it uses less digits than its factorization.

1914111432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8861642 (or 8861632 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 1914111432 is about 43750.5592192831. The cubic root of 1914111432 is about 1241.6210657567.

The spelling of 1914111432 in words is "one billion, nine hundred fourteen million, one hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 8861627 17723254 26584881 35446508 53169762 70893016 79754643 106339524 159509286 212679048 239263929 319018572 478527858 638037144 957055716 1914111432