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23332790016 = 2835834519
BaseRepresentation
bin10101101110101111…
…100001111100000000
32020020002202112200000
4111232233201330000
5340241143240031
614415142400000
71454131304604
oct255657417400
966202675600
1023332790016
11999382a538
124632130000
13227accab33
1411b4b99504
159186493e6
hex56ebe1f00

23332790016 has 216 divisors, whose sum is σ = 70621998720. Its totient is φ = 7682190336.

The previous prime is 23332790009. The next prime is 23332790017. The reversal of 23332790016 is 61009723332.

23332790016 is a `hidden beast` number, since 233 + 327 + 90 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (23332790017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5161005 + ... + 5165523.

Almost surely, 223332790016 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 23332790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35310999360).

23332790016 is an abundant number, since it is smaller than the sum of its proper divisors (47289208704).

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

23332790016 is an frugal number, since it uses more digits than its factorization.

23332790016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 23332790016 in words is "twenty-three billion, three hundred thirty-two million, seven hundred ninety thousand, sixteen".