Base | Representation |
---|---|
bin | 10101100000101111… |
… | …110100010000000000 |
3 | 2012121201221011100220 |
4 | 111200233310100000 |
5 | 334301040442000 |
6 | 14335553543040 |
7 | 1445250424140 |
oct | 254057642000 |
9 | 65551834326 |
10 | 23097984000 |
11 | 9883234283 |
12 | 4587574a80 |
13 | 2241478170 |
14 | 1191916920 |
15 | 902c171a0 |
hex | 560bf4400 |
23097984000 has 704 divisors, whose sum is σ = 94706207232. Its totient is φ = 4866048000.
The previous prime is 23097983989. The next prime is 23097984037. The reversal of 23097984000 is 48979032.
It is a Harshad number since it is a multiple of its sum of digits (42).
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, 34943670 + ... + 34944330.
Almost surely, 223097984000 is an apocalyptic number.
23097984000 is a gapful number since it is divisible by the number (20) 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 23097984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47353103616).
23097984000 is an abundant number, since it is smaller than the sum of its proper divisors (71608223232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23097984000 is a wasteful number, since it uses less digits than its factorization.
23097984000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 719 (or 691 counting only the distinct ones).
The product of its (nonzero) digits is 108864, while the sum is 42.
The spelling of 23097984000 in words is "twenty-three billion, ninety-seven million, nine hundred eighty-four thousand".
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