| Base | Representation |
|---|---|
| bin | 110001100010110100… |
| … | …0011010001010000000 |
| 3 | 101011121211210220201000 |
| 4 | 1203011220122022000 |
| 5 | 3220344044411202 |
| 6 | 120513244212000 |
| 7 | 10454364615555 |
| oct | 1430550321200 |
| 9 | 334554726630 |
| 10 | 106394919552 |
| 11 | 41138181889 |
| 12 | 1875353a000 |
| 13 | a05765b4cc |
| 14 | 52144b0a2c |
| 15 | 2b7a88091c |
| hex | 18c5a1a280 |
106394919552 has 256 divisors, whose sum is σ = 333770112000. Its totient is φ = 33270082560.
The previous prime is 106394919551. The next prime is 106394919557. The reversal of 106394919552 is 255919493601.
106394919552 is a `hidden beast` number, since 1 + 0 + 6 + 39 + 49 + 19 + 552 = 666.
It is a super-2 number, since 2×1063949195522 (a number of 23 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (106394919551) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6755527 + ... + 6771257.
It is an arithmetic number, because the mean of its divisors is an integer number (1303789500).
Almost surely, 2106394919552 is an apocalyptic number.
106394919552 is a gapful number since it is divisible by the number (12) 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 106394919552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166885056000).
106394919552 is an abundant number, since it is smaller than the sum of its proper divisors (227375192448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106394919552 is a wasteful number, since it uses less digits than its factorization.
106394919552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15876 (or 15858 counting only the distinct ones).
The product of its (nonzero) digits is 2624400, while the sum is 54.
The spelling of 106394919552 in words is "one hundred six billion, three hundred ninety-four million, nine hundred nineteen thousand, five hundred fifty-two".
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