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22975788871680 = 2123513917315551
BaseRepresentation
bin1010011100101011101111…
…01110111111000000000000
310000100110112020020000210120
411032111313232333000000
511002413403422343210
6120510533125100240
74560642316052031
oct516256756770000
9100313466200716
1022975788871680
117358a82927757
1226b0a41257680
13ca87b8b64cb8
1459606987aa88
1529c9bdcd2270
hex14e577bbf000

22975788871680 has 416 divisors, whose sum is σ = 74475203604480. Its totient is φ = 6047249203200.

The previous prime is 22975788871657. The next prime is 22975788871709. The reversal of 22975788871680 is 8617888757922.

22975788871680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 22975788871596 and 22975788871605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1477439905 + ... + 1477455455.

Almost surely, 222975788871680 is an apocalyptic number.

22975788871680 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 22975788871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37237601802240).

22975788871680 is an abundant number, since it is smaller than the sum of its proper divisors (51499414732800).

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

22975788871680 is a wasteful number, since it uses less digits than its factorization.

22975788871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15895 (or 15873 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 78.

The spelling of 22975788871680 in words is "twenty-two trillion, nine hundred seventy-five billion, seven hundred eighty-eight million, eight hundred seventy-one thousand, six hundred eighty".