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23966145216 = 2635131719367
BaseRepresentation
bin10110010100011111…
…100101101011000000
32021212020112022200000
4112110133211223000
5343040313121331
615002045400000
71505621605326
oct262437455300
967766468600
1023966145216
11a18929a692
12478a269000
13234c2a4920
141234d45d16
159540550e6
hex5947e5ac0

23966145216 has 672 divisors, whose sum is σ = 85739996160. Its totient is φ = 6557220864.

The previous prime is 23966145149. The next prime is 23966145223. The reversal of 23966145216 is 61254166932.

23966145216 is a `hidden beast` number, since 2 + 3 + 9 + 6 + 614 + 5 + 21 + 6 = 666.

It is a super-2 number, since 2×239661452162 (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 65302665 + ... + 65303031.

It is an arithmetic number, because the mean of its divisors is an integer number (127589280).

Almost surely, 223966145216 is an apocalyptic number.

23966145216 is a gapful number since it is divisible by the number (26) 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 23966145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42869998080).

23966145216 is an abundant number, since it is smaller than the sum of its proper divisors (61773850944).

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

23966145216 is a wasteful number, since it uses less digits than its factorization.

23966145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 421 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 23966145216 in words is "twenty-three billion, nine hundred sixty-six million, one hundred forty-five thousand, two hundred sixteen".