| Base | Representation |
|---|---|
| bin | 11100001000101101… |
| … | …00000001001000000 |
| 3 | 1102222201110111000000 |
| 4 | 32010112200021000 |
| 5 | 221413440040331 |
| 6 | 10534521000000 |
| 7 | 1043216503164 |
| oct | 160426401100 |
| 9 | 42881414000 |
| 10 | 15105393216 |
| 11 | 6451667551 |
| 12 | 2b16923000 |
| 13 | 156962a5c4 |
| 14 | a3421aca4 |
| 15 | 5d61d20e6 |
| hex | 3845a0240 |
15105393216 has 147 divisors (see below), whose sum is σ = 45020710441. Its totient is φ = 5026281984.
The previous prime is 15105393169. The next prime is 15105393223. The reversal of 15105393216 is 61239350151.
It is a happy number.
The square root of 15105393216 is 122904.
It is a perfect power (a square), and thus also a powerful number.
15105393216 is a `hidden beast` number, since 1 + 51 + 0 + 5 + 393 + 216 = 666.
It can be written as a sum of positive squares in only one way, i.e., 2489610816 + 12615782400 = 49896^2 + 112320^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 26546980 + ... + 26547548.
Almost surely, 215105393216 is an apocalyptic number.
15105393216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
15105393216 is the 122904-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 15105393216
15105393216 is an abundant number, since it is smaller than the sum of its proper divisors (29915317225).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
15105393216 is an frugal number, since it uses more digits than its factorization.
15105393216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1168 (or 574 counting only the distinct ones).
The product of its (nonzero) digits is 24300, while the sum is 36.
Multiplying 15105393216 by its sum of digits (36), we get a square (543794155776 = 7374242).
15105393216 divided by its sum of digits (36) gives a square (419594256 = 204842).
It can be divided in two parts, 15105 and 393216, that added together give a square (408321 = 6392).
The spelling of 15105393216 in words is "fifteen billion, one hundred five million, three hundred ninety-three thousand, two hundred sixteen".
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