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23842339920 = 2432571271932
BaseRepresentation
bin10110001101000111…
…010011110001010000
32021112121120100201200
4112031013103301100
5342312114334140
614541504031200
71502556355050
oct261507236120
967477510650
1023842339920
11a125419963
124754902500
13232c747959
141222719560
1594824c030
hex58d1d3c50

23842339920 has 360 divisors, whose sum is σ = 92710066176. Its totient is φ = 5378752512.

The previous prime is 23842339919. The next prime is 23842339931. The reversal of 23842339920 is 2993324832.

23842339920 is a `hidden beast` number, since 238 + 4 + 2 + 3 + 399 + 20 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123535344 + ... + 123535536.

Almost surely, 223842339920 is an apocalyptic number.

23842339920 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 23842339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46355033088).

23842339920 is an abundant number, since it is smaller than the sum of its proper divisors (68867726256).

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

23842339920 is a wasteful number, since it uses less digits than its factorization.

23842339920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 23842339920 in words is "twenty-three billion, eight hundred forty-two million, three hundred thirty-nine thousand, nine hundred twenty".