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23051155680 = 25325719235233
BaseRepresentation
bin10101011101111101…
…001011100011100000
32012111110211000222200
4111131331023203200
5334202043440210
614331202133200
71444141406340
oct253575134340
965443730880
1023051155680
11985985a493
124573951200
1322348605b7
141189606d20
158eda670c0
hex55df4b8e0

23051155680 has 576 divisors, whose sum is σ = 98764323840. Its totient is φ = 4773593088.

The previous prime is 23051155667. The next prime is 23051155681. The reversal of 23051155680 is 8655115032.

It is a happy number.

23051155680 is a `hidden beast` number, since 2 + 30 + 51 + 15 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23051155681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4402344 + ... + 4407576.

It is an arithmetic number, because the mean of its divisors is an integer number (171465840).

Almost surely, 223051155680 is an apocalyptic number.

23051155680 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 23051155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49382161920).

23051155680 is an abundant number, since it is smaller than the sum of its proper divisors (75713168160).

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

23051155680 is a wasteful number, since it uses less digits than its factorization.

23051155680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 23051155680 in words is "twenty-three billion, fifty-one million, one hundred fifty-five thousand, six hundred eighty".