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23848872768 = 263471813631
BaseRepresentation
bin10110001101100000…
…001110101101000000
32021120001212021010000
4112031200032231000
5342320302412033
614542300040000
71502666034210
oct261540165500
967501767100
1023848872768
11a129081106
124756b33000
132330bc4346
14122353a240
15948adca13
hex58d80eb40

23848872768 has 280 divisors, whose sum is σ = 81263646464. Its totient is φ = 6774451200.

The previous prime is 23848872701. The next prime is 23848872781. The reversal of 23848872768 is 86727884832.

23848872768 is a `hidden beast` number, since 23 + 8 + 488 + 72 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6566313 + ... + 6569943.

Almost surely, 223848872768 is an apocalyptic number.

23848872768 is a gapful number since it is divisible by the number (28) 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 23848872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40631823232).

23848872768 is an abundant number, since it is smaller than the sum of its proper divisors (57414773696).

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

23848872768 is a wasteful number, since it uses less digits than its factorization.

23848872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843 (or 3824 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 23848872768 in words is "twenty-three billion, eight hundred forty-eight million, eight hundred seventy-two thousand, seven hundred sixty-eight".