| Base | Representation |
|---|---|
| bin | 10010111001110000111111… |
| … | …111010001011001011000100 |
| 3 | 101220100120120101211011210000 |
| 4 | 102321300333322023023010 |
| 5 | 41344033333023233400 |
| 6 | 452451235431201300 |
| 7 | 23340160253515464 |
| oct | 2271607772131304 |
| 9 | 356316511734700 |
| 10 | 83134459196100 |
| 11 | 245421429a5a84 |
| 12 | 93a8022216230 |
| 13 | 3750713354a00 |
| 14 | 1675a2d27dba4 |
| 15 | 9927b871e600 |
| hex | 4b9c3fe8b2c4 |
83134459196100 has 405 divisors, whose sum is σ = 291851062512933. Its totient is φ = 20461240949760.
The previous prime is 83134459196093. The next prime is 83134459196123. The reversal of 83134459196100 is 169195443138.
The square root of 83134459196100 is 9117810.
It is a perfect power (a square), and thus also a powerful number.
83134459196100 is a `hidden beast` number, since 8 + 3 + 1 + 3 + 4 + 4 + 5 + 9 + 19 + 610 + 0 = 666.
83134459196100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 13 ways, for example, as 33787318534596 + 49347140661504 = 5812686^2 + 7024752^2 .
It is a tau number, because it is divible by the number of its divisors (405).
It is a super-2 number, since 2×831344591961002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10667833804 + ... + 10667841596.
Almost surely, 283134459196100 is an apocalyptic number.
83134459196100 is the 9117810-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 83134459196100
83134459196100 is an abundant number, since it is smaller than the sum of its proper divisors (208716603316833).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83134459196100 is an equidigital number, since it uses as much as digits as its factorization.
83134459196100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15638 (or 7816 counting only the distinct ones).
The product of its (nonzero) digits is 2799360, while the sum is 54.
The spelling of 83134459196100 in words is "eighty-three trillion, one hundred thirty-four billion, four hundred fifty-nine million, one hundred ninety-six thousand, one hundred".
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