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23147687920896 = 28337211231511789
BaseRepresentation
bin1010100001101011111011…
…01101110100010100000000
310000221220020011121111201000
411100311331231310110000
511013222431101432041
6121121522342212000
74606236166626600
oct520657555642400
9100856204544630
1023147687920896
117414974410690
12271a215a24000
13cbba8237bc36
145a04d5810c00
152a21d01edbb6
hex150d7db74500

23147687920896 has 1728 divisors, whose sum is σ = 91294550323200. Its totient is φ = 5709699072000.

The previous prime is 23147687920879. The next prime is 23147687920901. The reversal of 23147687920896 is 69802978674132.

23147687920896 is a `hidden beast` number, since 2 + 3 + 1 + 476 + 8 + 79 + 2 + 0 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12938896770 + ... + 12938898558.

It is an arithmetic number, because the mean of its divisors is an integer number (52832494400).

Almost surely, 223147687920896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23147687920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45647275161600).

23147687920896 is an abundant number, since it is smaller than the sum of its proper divisors (68146862402304).

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

23147687920896 is a wasteful number, since it uses less digits than its factorization.

23147687920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 23147687920896 in words is "twenty-three trillion, one hundred forty-seven billion, six hundred eighty-seven million, nine hundred twenty thousand, eight hundred ninety-six".