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23728761056 = 2571113799377
BaseRepresentation
bin10110000110010110…
…000010100011100000
32021020200211221211002
4112012112002203200
5342044030323211
614522325411132
71500010066250
oct260626024340
967220757732
1023728761056
11a0772a3430
124722869aa8
13231205b620
1412115d1960
1593d2b403b
hex5865828e0

23728761056 has 192 divisors, whose sum is σ = 63524321280. Its totient is φ = 8424898560.

The previous prime is 23728761053. The next prime is 23728761061. The reversal of 23728761056 is 65016782732.

It is a self number, because there is not a number n which added to its sum of digits gives 23728761056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23728761053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525840 + ... + 2535216.

It is an arithmetic number, because the mean of its divisors is an integer number (330855840).

Almost surely, 223728761056 is an apocalyptic number.

23728761056 is a gapful number since it is divisible by the number (26) 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 23728761056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31762160640).

23728761056 is an abundant number, since it is smaller than the sum of its proper divisors (39795560224).

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

23728761056 is a wasteful number, since it uses less digits than its factorization.

23728761056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 23728761056 in words is "twenty-three billion, seven hundred twenty-eight million, seven hundred sixty-one thousand, fifty-six".