| Base | Representation |
|---|---|
| bin | 1010101010101011011111… |
| … | …01000111100111010000000 |
| 3 | 10002001102211000102112200000 |
| 4 | 11111111233220330322000 |
| 5 | 11033303244442102124 |
| 6 | 121515504312400000 |
| 7 | 4640455426143600 |
| oct | 525255750747200 |
| 9 | 102042730375600 |
| 10 | 23456689409664 |
| 11 | 7523a207256a5 |
| 12 | 276a0919a6000 |
| 13 | 1011c5805c654 |
| 14 | 5b144a234c00 |
| 15 | 2aa267c806c9 |
| hex | 15556fa3ce80 |
23456689409664 has 1152 divisors, whose sum is σ = 87033350214720. Its totient is φ = 6247992360960.
The previous prime is 23456689409561. The next prime is 23456689409677. The reversal of 23456689409664 is 46690498665432.
23456689409664 is a `hidden beast` number, since 2 + 3 + 456 + 6 + 89 + 4 + 0 + 96 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×234566894096642 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 23456689409592 and 23456689409601.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2772326394 + ... + 2772334854.
Almost surely, 223456689409664 is an apocalyptic number.
23456689409664 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 23456689409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43516675107360).
23456689409664 is an abundant number, since it is smaller than the sum of its proper divisors (63576660805056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23456689409664 is a wasteful number, since it uses less digits than its factorization.
23456689409664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8628 (or 8597 counting only the distinct ones).
The product of its (nonzero) digits is 1612431360, while the sum is 72.
The spelling of 23456689409664 in words is "twenty-three trillion, four hundred fifty-six billion, six hundred eighty-nine million, four hundred nine thousand, six hundred sixty-four".
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