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23478816480 = 253573142607
BaseRepresentation
bin10101110111011100…
…100100111011100000
32020121021112110022120
4111313130210323200
5341041034111410
614441440304240
71460553435000
oct256734447340
966537473276
1023478816480
119a591a8369
124673012080
1322a2338222
1411ca32c000
15926391570
hex577724ee0

23478816480 has 192 divisors, whose sum is σ = 86249318400. Its totient is φ = 5366548992.

The previous prime is 23478816463. The next prime is 23478816521. The reversal of 23478816480 is 8461887432.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 93337 + ... + 235943.

It is an arithmetic number, because the mean of its divisors is an integer number (449215200).

Almost surely, 223478816480 is an apocalyptic number.

23478816480 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 23478816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43124659200).

23478816480 is an abundant number, since it is smaller than the sum of its proper divisors (62770501920).

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

23478816480 is a wasteful number, since it uses less digits than its factorization.

23478816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142646 (or 142624 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 23478816480 in words is "twenty-three billion, four hundred seventy-eight million, eight hundred sixteen thousand, four hundred eighty".