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23819034024 = 2332330819917
BaseRepresentation
bin10110001011101110…
…011001110110101000
32021110222201022001100
4112023232121312220
5342240133042044
614535312321400
71502154306612
oct261356316650
967428638040
1023819034024
11a113250895
124748b43260
132327977896
14121d5addb2
15946196869
hex58bb99da8

23819034024 has 24 divisors (see below), whose sum is σ = 64509884010. Its totient is φ = 7939677984.

The previous prime is 23819034017. The next prime is 23819034037. The reversal of 23819034024 is 42043091832.

23819034024 is a `hidden beast` number, since 238 + 19 + 0 + 3 + 402 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21954348900 + 1864685124 = 148170^2 + 43182^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23819034024.

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 5 ways as a sum of consecutive naturals, for example, 165409887 + ... + 165410030.

Almost surely, 223819034024 is an apocalyptic number.

23819034024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23819034024 is an abundant number, since it is smaller than the sum of its proper divisors (40690849986).

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

23819034024 is a wasteful number, since it uses less digits than its factorization.

23819034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330819929 (or 330819922 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23819034024 in words is "twenty-three billion, eight hundred nineteen million, thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 330819917 661639834 992459751 1323279668 1984919502 2646559336 2977379253 3969839004 5954758506 7939678008 11909517012 23819034024