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23557011072 = 2737219131503
BaseRepresentation
bin10101111100000110…
…110111011010000000
32020210201200011010120
4111330012313122000
5341221043323242
614453312300240
71462523201400
oct257406673200
966721604116
1023557011072
119a993560a1
124695241680
1322b55b590a
1411d6884800
1592d18a1ec
hex57c1b7680

23557011072 has 384 divisors, whose sum is σ = 77358758400. Its totient is φ = 6315079680.

The previous prime is 23557011031. The next prime is 23557011089. The reversal of 23557011072 is 27011075532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 46832773 + ... + 46833275.

It is an arithmetic number, because the mean of its divisors is an integer number (201455100).

Almost surely, 223557011072 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 23557011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38679379200).

23557011072 is an abundant number, since it is smaller than the sum of its proper divisors (53801747328).

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

23557011072 is a wasteful number, since it uses less digits than its factorization.

23557011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

It can be divided in two parts, 235570 and 11072, that added together give a palindrome (246642).

The spelling of 23557011072 in words is "twenty-three billion, five hundred fifty-seven million, eleven thousand, seventy-two".