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23168705472 = 26321143277307
BaseRepresentation
bin10101100100111101…
…100110001111000000
32012210200000011222200
4111210331212033000
5334422142033342
614351001433200
71450066514163
oct254475461700
965720004880
1023168705472
11990a148380
1245a719b800
13225300a1a3
14119b085ada
1590903694c
hex564f663c0

23168705472 has 336 divisors, whose sum is σ = 74640838272. Its totient is φ = 6810531840.

The previous prime is 23168705467. The next prime is 23168705489. The reversal of 23168705472 is 27450786132.

23168705472 is a `hidden beast` number, since 2 + 31 + 6 + 8 + 70 + 547 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75467943 + ... + 75468249.

It is an arithmetic number, because the mean of its divisors is an integer number (222145352).

Almost surely, 223168705472 is an apocalyptic number.

23168705472 is a gapful number since it is divisible by the number (22) 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 23168705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37320419136).

23168705472 is an abundant number, since it is smaller than the sum of its proper divisors (51472132800).

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

23168705472 is a wasteful number, since it uses less digits than its factorization.

23168705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 23168705472 in words is "twenty-three billion, one hundred sixty-eight million, seven hundred five thousand, four hundred seventy-two".