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1923135264 = 25332225851
BaseRepresentation
bin111001010100000…
…1011011100100000
311222000201101122000
41302220023130200
512414310312024
6514455244000
765441244231
oct16250133440
94860641560
101923135264
118a7617a96
12458079600
1324857407b
141435ab088
15b3c7ccc9
hex72a0b720

1923135264 has 48 divisors (see below), whose sum is σ = 5609147040. Its totient is φ = 641044800.

The previous prime is 1923135239. The next prime is 1923135307. The reversal of 1923135264 is 4625313291.

1923135264 is a `hidden beast` number, since 19 + 231 + 352 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1112062 + ... + 1113789.

It is an arithmetic number, because the mean of its divisors is an integer number (116857230).

Almost surely, 21923135264 is an apocalyptic number.

It is an amenable number.

1923135264 is an abundant number, since it is smaller than the sum of its proper divisors (3686011776).

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

1923135264 is a wasteful number, since it uses less digits than its factorization.

1923135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225870 (or 2225856 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 1923135264 is about 43853.5661491742. The cubic root of 1923135264 is about 1243.5691618462.

The spelling of 1923135264 in words is "one billion, nine hundred twenty-three million, one hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2225851 4451702 6677553 8903404 13355106 17806808 20032659 26710212 35613616 40065318 53420424 60097977 71227232 80130636 106840848 120195954 160261272 213681696 240391908 320522544 480783816 641045088 961567632 1923135264