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22975045632 = 213337111971
BaseRepresentation
bin10101011001011010…
…110110000000000000
32012022011121020122000
4111121122312000000
5334023102430012
614315442544000
71442225444220
oct253132660000
965264536560
1022975045632
11981a8a5920
124552368000
132221b62976
14117d474080
158e7030ddc
hex5596b6000

22975045632 has 896 divisors, whose sum is σ = 90591436800. Its totient is φ = 5573836800.

The previous prime is 22975045619. The next prime is 22975045663. The reversal of 22975045632 is 23654057922.

22975045632 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 5 + 0 + 4 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323592157 + ... + 323592227.

Almost surely, 222975045632 is an apocalyptic number.

22975045632 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 22975045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45295718400).

22975045632 is an abundant number, since it is smaller than the sum of its proper divisors (67616391168).

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

22975045632 is a wasteful number, since it uses less digits than its factorization.

22975045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 22975045632 in words is "twenty-two billion, nine hundred seventy-five million, forty-five thousand, six hundred thirty-two".