| Base | Representation |
|---|---|
| bin | 110000100111110… |
| … | …1110110001000000 |
| 3 | 11012200222111000000 |
| 4 | 1201033232301000 |
| 5 | 11320131414124 |
| 6 | 425521000000 |
| 7 | 55300431414 |
| oct | 14117566100 |
| 9 | 4180874000 |
| 10 | 1631513664 |
| 11 | 767a46400 |
| 12 | 396483000 |
| 13 | 20001aa01 |
| 14 | 116978d44 |
| 15 | 983766c9 |
| hex | 613eec40 |
1631513664 has 441 divisors, whose sum is σ = 5667791941. Its totient is φ = 465315840.
The previous prime is 1631513659. The next prime is 1631513669. The reversal of 1631513664 is 4663151361.
The square root of 1631513664 is 40392.
It is a perfect power (a square), and thus also a powerful number.
1631513664 is a `hidden beast` number, since 1 + 631 + 5 + 13 + 6 + 6 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (1631513659) and next prime (1631513669).
It can be written as a sum of positive squares in only one way, i.e., 1270209600 + 361304064 = 35640^2 + 19008^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1631513669) by changing a digit.
It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 95971384 + ... + 95971400.
Almost surely, 21631513664 is an apocalyptic number.
1631513664 is the 40392-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1631513664
1631513664 is an abundant number, since it is smaller than the sum of its proper divisors (4036278277).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1631513664 is an equidigital number, since it uses as much as digits as its factorization.
1631513664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 86 (or 33 counting only the distinct ones).
The product of its digits is 38880, while the sum is 36.
The cubic root of 1631513664 is about 1177.2361013534.
Multiplying 1631513664 by its sum of digits (36), we get a square (58734491904 = 2423522).
1631513664 divided by its sum of digits (36) gives a square (45319824 = 67322).
The spelling of 1631513664 in words is "one billion, six hundred thirty-one million, five hundred thirteen thousand, six hundred sixty-four".
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