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23306213376 = 211331724793
BaseRepresentation
bin10101101101001010…
…001001100000000000
32020011020202022101000
4111231022021200000
5340212342312001
614412353012000
71453356354645
oct255512114000
966136668330
1023306213376
11997a828076
124625254000
132275654104
1411b143bdcc
15916149a86
hex56d289800

23306213376 has 192 divisors, whose sum is σ = 73102629600. Its totient is φ = 7311458304.

The previous prime is 23306213351. The next prime is 23306213401. The reversal of 23306213376 is 67331260332.

23306213376 is a `hidden beast` number, since 23 + 3 + 0 + 621 + 3 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (23306213351) and next prime (23306213401).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23306213376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927636 + ... + 952428.

Almost surely, 223306213376 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 23306213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36551314800).

23306213376 is an abundant number, since it is smaller than the sum of its proper divisors (49796416224).

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

23306213376 is a wasteful number, since it uses less digits than its factorization.

23306213376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24841 (or 24815 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 23306213376 in words is "twenty-three billion, three hundred six million, two hundred thirteen thousand, three hundred seventy-six".