| Base | Representation |
|---|---|
| bin | 1010111111011111… |
| … | …01110000110010000 |
| 3 | 120020021100201201221 |
| 4 | 11133233232012100 |
| 5 | 44041213444100 |
| 6 | 2413325334424 |
| 7 | 266145220264 |
| oct | 53757560620 |
| 9 | 16207321657 |
| 10 | 5901312400 |
| 11 | 2559156395 |
| 12 | 1188407414 |
| 13 | 7307c4739 |
| 14 | 3dda800a4 |
| 15 | 24814201a |
| hex | 15fbee190 |
5901312400 has 135 divisors (see below), whose sum is σ = 14910415681. Its totient is φ = 2244373120.
The previous prime is 5901312397. The next prime is 5901312407. The reversal of 5901312400 is 42131095.
The square root of 5901312400 is 76820.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 2124472464 + 3776839936 = 46092^2 + 61456^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (5901312407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35337117 + ... + 35337283.
Almost surely, 25901312400 is an apocalyptic number.
5901312400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
5901312400 is the 76820-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5901312400
5901312400 is an abundant number, since it is smaller than the sum of its proper divisors (9009103281).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5901312400 is a wasteful number, since it uses less digits than its factorization.
5901312400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 398 (or 197 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 25.
The cubic root of 5901312400 is about 1807.1028405149.
Multiplying 5901312400 by its sum of digits (25), we get a square (147532810000 = 3841002).
5901312400 divided by its sum of digits (25) gives a square (236052496 = 153642).
Adding to 5901312400 its reverse (42131095), we get a palindrome (5943443495).
The spelling of 5901312400 in words is "five billion, nine hundred one million, three hundred twelve thousand, four hundred".
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