Base | Representation |
---|---|
bin | 1001001011110110… |
… | …1101000000000000 |
3 | 20100211112221002000 |
4 | 2102331231000000 |
5 | 20022201224030 |
6 | 1044355224000 |
7 | 115046445000 |
oct | 22275550000 |
9 | 6324487060 |
10 | 2465648640 |
11 | 1055881354 |
12 | 5898a8000 |
13 | 303a929c0 |
14 | 19566c000 |
15 | e66e2860 |
hex | 92f6d000 |
2465648640 has 832 divisors, whose sum is σ = 11008704000. Its totient is φ = 520224768.
The previous prime is 2465648629. The next prime is 2465648641. The reversal of 2465648640 is 468465642.
2465648640 is a `hidden beast` number, since 2 + 4 + 6 + 564 + 86 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (832).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2465648641) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189665274 + ... + 189665286.
Almost surely, 22465648640 is an apocalyptic number.
2465648640 is a gapful number since it is divisible by the number (20) 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 2465648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504352000).
2465648640 is an abundant number, since it is smaller than the sum of its proper divisors (8543055360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2465648640 is an equidigital number, since it uses as much as digits as its factorization.
2465648640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72 (or 30 counting only the distinct ones).
The product of its (nonzero) digits is 1105920, while the sum is 45.
The square root of 2465648640 is about 49655.2982067372. The cubic root of 2465648640 is about 1350.9638548859.
The spelling of 2465648640 in words is "two billion, four hundred sixty-five million, six hundred forty-eight thousand, six hundred forty".
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