Base | Representation |
---|---|
bin | 10101111111011011… |
… | …000001000000000000 |
3 | 2020221121022121221211 |
4 | 111333123001000000 |
5 | 341324312444041 |
6 | 14503020255504 |
7 | 1464100000000 |
oct | 257733010000 |
9 | 66847277854 |
10 | 23612624896 |
11 | a017790633 |
12 | 46ab9a1594 |
13 | 22c3c882c3 |
14 | 1200000000 |
15 | 932ec3481 |
hex | 57f6c1000 |
23612624896 has 117 divisors (see below), whose sum is σ = 55089397791. Its totient is φ = 10119696384.
The previous prime is 23612624891. The next prime is 23612624909. The reversal of 23612624896 is 69842621632.
It is a happy number.
The square root of 23612624896 is 153664.
It is a perfect power (a square, a biquadrate), and thus also a powerful number.
It is a Harshad number since it is a multiple of its sum of digits (49).
It is a Duffinian number.
Its product of digits (1492992) is a multiple of the sum of its prime divisors (9).
It is not an unprimeable number, because it can be changed into a prime (23612624891) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3373232125 + ... + 3373232131.
Almost surely, 223612624896 is an apocalyptic number.
23612624896 is the 153664-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23612624896
23612624896 is an abundant number, since it is smaller than the sum of its proper divisors (31476772895).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23612624896 is an frugal number, since it uses more digits than its factorization.
23612624896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 80 (or 9 counting only the distinct ones).
The product of its digits is 1492992, while the sum is 49.
Multiplying 23612624896 by its sum of digits (49), we get a square (1157018619904 = 10756482).
23612624896 divided by its sum of digits (49) gives a 6-th power (481890304 = 286).
The spelling of 23612624896 in words is "twenty-three billion, six hundred twelve million, six hundred twenty-four thousand, eight hundred ninety-six".
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