Base | Representation |
---|---|
bin | 1010011101111100111100… |
… | …01001001000011101100000 |
3 | 10000111122001101010211001000 |
4 | 11032332132021020131200 |
5 | 11004122144012331334 |
6 | 120542543013112000 |
7 | 4564044524342520 |
oct | 516763611103540 |
9 | 100448041124030 |
10 | 23019382933344 |
11 | 7375513608496 |
12 | 26b9388928600 |
13 | cac9456c8765 |
14 | 5982034cd680 |
15 | 29dbc10a6299 |
hex | 14ef9e248760 |
23019382933344 has 384 divisors, whose sum is σ = 80946688435200. Its totient is φ = 6217162076160.
The previous prime is 23019382933279. The next prime is 23019382933361. The reversal of 23019382933344 is 44333928391032.
23019382933344 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 9 + 3 + 8 + 293 + 3 + 344 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52295614 + ... + 52733954.
It is an arithmetic number, because the mean of its divisors is an integer number (210798667800).
Almost surely, 223019382933344 is an apocalyptic number.
23019382933344 is a gapful number since it is divisible by the number (24) 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 23019382933344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40473344217600).
23019382933344 is an abundant number, since it is smaller than the sum of its proper divisors (57927305501856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23019382933344 is a wasteful number, since it uses less digits than its factorization.
23019382933344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 438843 (or 438829 counting only the distinct ones).
The product of its (nonzero) digits is 10077696, while the sum is 54.
The spelling of 23019382933344 in words is "twenty-three trillion, nineteen billion, three hundred eighty-two million, nine hundred thirty-three thousand, three hundred forty-four".
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