Base | Representation |
---|---|
bin | 10101101101101000… |
… | …011100100111010000 |
3 | 2020011210200211120200 |
4 | 111231220130213100 |
5 | 340221410442414 |
6 | 14413235135200 |
7 | 1453514025150 |
oct | 255550344720 |
9 | 66153624520 |
10 | 23314155984 |
11 | 9984262509 |
12 | 4627a44500 |
13 | 22771a5392 |
14 | 11b2508760 |
15 | 916bb8109 |
hex | 56da1c9d0 |
23314155984 has 240 divisors, whose sum is σ = 76682711040. Its totient is φ = 6474297600.
The previous prime is 23314155967. The next prime is 23314155989. The reversal of 23314155984 is 48955141332.
23314155984 is a `hidden beast` number, since 2 + 3 + 3 + 14 + 1 + 559 + 84 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23314155989) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 7152147 + ... + 7155405.
It is an arithmetic number, because the mean of its divisors is an integer number (319511296).
Almost surely, 223314155984 is an apocalyptic number.
23314155984 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 23314155984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38341355520).
23314155984 is an abundant number, since it is smaller than the sum of its proper divisors (53368555056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23314155984 is a wasteful number, since it uses less digits than its factorization.
23314155984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3478 (or 3469 counting only the distinct ones).
The product of its digits is 518400, while the sum is 45.
The spelling of 23314155984 in words is "twenty-three billion, three hundred fourteen million, one hundred fifty-five thousand, nine hundred eighty-four".
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