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23672463360 = 213357132973
BaseRepresentation
bin10110000010111111…
…010010000000000000
32021002202220201220020
4112002333102000000
5341440122311420
614512555013440
71465424422110
oct260277220000
967082821806
1023672463360
11a048541107
124707a3a280
1323034a9890
141207d39040
15938393340
hex582fd2000

23672463360 has 896 divisors, whose sum is σ = 97763258880. Its totient is φ = 4756340736.

The previous prime is 23672463343. The next prime is 23672463361. The reversal of 23672463360 is 6336427632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23672463361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324280284 + ... + 324280356.

It is an arithmetic number, because the mean of its divisors is an integer number (109110780).

Almost surely, 223672463360 is an apocalyptic number.

23672463360 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 23672463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48881629440).

23672463360 is an abundant number, since it is smaller than the sum of its proper divisors (74090795520).

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

23672463360 is a wasteful number, since it uses less digits than its factorization.

23672463360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 42.

The spelling of 23672463360 in words is "twenty-three billion, six hundred seventy-two million, four hundred sixty-three thousand, three hundred sixty".