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23478024960 = 283451317419
BaseRepresentation
bin10101110111011001…
…100011101100000000
32020121020001020120000
4111313121203230000
5341040333244320
614441411320000
71460543630235
oct256731435400
966536036500
1023478024960
119a58807715
1246728b0000
1322a211bb80
1411ca1a378c
15926286c90
hex577663b00

23478024960 has 360 divisors, whose sum is σ = 90476065680. Its totient is φ = 5778874368.

The previous prime is 23478024917. The next prime is 23478024979. The reversal of 23478024960 is 6942087432.

23478024960 is a `hidden beast` number, since 2 + 347 + 8 + 0 + 249 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1339131 + ... + 1356549.

Almost surely, 223478024960 is an apocalyptic number.

23478024960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23478024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45238032840).

23478024960 is an abundant number, since it is smaller than the sum of its proper divisors (66998040720).

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

23478024960 is a wasteful number, since it uses less digits than its factorization.

23478024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17465 (or 17442 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 23478024960 in words is "twenty-three billion, four hundred seventy-eight million, twenty-four thousand, nine hundred sixty".