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23783106816 = 283371941631
BaseRepresentation
bin10110001001100101…
…010110100100000000
32021101111010000012000
4112021211112210000
5342201433404231
614531550304000
71501240033560
oct261145264400
967344100160
1023783106816
11a0a4a42187
124738ab8000
1323203a8a91
1412188dada0
15942e4b6e6
hex589956900

23783106816 has 576 divisors, whose sum is σ = 86809497600. Its totient is φ = 6270566400.

The previous prime is 23783106793. The next prime is 23783106821. The reversal of 23783106816 is 61860138732.

It is a tau number, because it is divible by the number of its divisors (576).

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, 37690821 + ... + 37691451.

Almost surely, 223783106816 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 23783106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43404748800).

23783106816 is an abundant number, since it is smaller than the sum of its proper divisors (63026390784).

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

23783106816 is a wasteful number, since it uses less digits than its factorization.

23783106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 23783106816 in words is "twenty-three billion, seven hundred eighty-three million, one hundred six thousand, eight hundred sixteen".