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23877996480 = 263551322379
BaseRepresentation
bin10110001111001111…
…010100111111000000
32021122002122220100000
4112033033110333000
5342400231341410
614545220200000
71503501423042
oct261717247700
967562586300
1023877996480
11a143563198
124764839000
132336c50500
14122735ba92
1594b441dc0
hex58f3d4fc0

23877996480 has 1008 divisors, whose sum is σ = 97456020480. Its totient is φ = 5550944256.

The previous prime is 23877996451. The next prime is 23877996487. The reversal of 23877996480 is 8469977832.

23877996480 is a `hidden beast` number, since 2 + 3 + 87 + 79 + 9 + 6 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23877996487) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 302253081 + ... + 302253159.

It is an arithmetic number, because the mean of its divisors is an integer number (96682560).

Almost surely, 223877996480 is an apocalyptic number.

23877996480 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 23877996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48728010240).

23877996480 is an abundant number, since it is smaller than the sum of its proper divisors (73578024000).

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

23877996480 is a wasteful number, since it uses less digits than its factorization.

23877996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 23877996480 in words is "twenty-three billion, eight hundred seventy-seven million, nine hundred ninety-six thousand, four hundred eighty".