Base | Representation |
---|---|
bin | 1111011011100… |
… | …1110000000000 |
3 | 11111210022121000 |
4 | 3312321300000 |
5 | 113032131333 |
6 | 10231132000 |
7 | 1414100421 |
oct | 366716000 |
9 | 144708530 |
10 | 64723968 |
11 | 33598091 |
12 | 19814000 |
13 | 1054220a |
14 | 884b648 |
15 | 5a37713 |
hex | 3db9c00 |
64723968 has 88 divisors (see below), whose sum is σ = 191762960. Its totient is φ = 21565440.
The previous prime is 64723963. The next prime is 64723973. The reversal of 64723968 is 86932746.
It is an interprime number because it is at equal distance from previous prime (64723963) and next prime (64723973).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (64723963) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26478 + ... + 28818.
Almost surely, 264723968 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 64723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95881480).
64723968 is an abundant number, since it is smaller than the sum of its proper divisors (127038992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64723968 is a wasteful number, since it uses less digits than its factorization.
64723968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2370 (or 2346 counting only the distinct ones).
The product of its digits is 435456, while the sum is 45.
The square root of 64723968 is about 8045.1207573286. The cubic root of 64723968 is about 401.5026149692.
It can be divided in two parts, 6472 and 3968, that added together give a triangular number (10440 = T144).
The spelling of 64723968 in words is "sixty-four million, seven hundred twenty-three thousand, nine hundred sixty-eight".
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