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23191461216 = 253671112911
BaseRepresentation
bin10101100110010100…
…011001110101100000
32012212020211022000000
4111212110121311200
5334444003224331
614353133300000
71450464111360
oct254624316540
965766738000
1023191461216
119920a80080
1245b2934600
132257946a21
1411a00ca9a0
1590b02e0e6
hex566519d60

23191461216 has 336 divisors, whose sum is σ = 85354311168. Its totient is φ = 6023289600.

The previous prime is 23191461193. The next prime is 23191461247. The reversal of 23191461216 is 61216419132.

It is a happy number.

23191461216 is a `hidden beast` number, since 2 + 3 + 19 + 14 + 612 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1789801 + ... + 1802711.

It is an arithmetic number, because the mean of its divisors is an integer number (254030688).

Almost surely, 223191461216 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 23191461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42677155584).

23191461216 is an abundant number, since it is smaller than the sum of its proper divisors (62162849952).

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

23191461216 is a wasteful number, since it uses less digits than its factorization.

23191461216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12934 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 23191461216 in words is "twenty-three billion, one hundred ninety-one million, four hundred sixty-one thousand, two hundred sixteen".