| Base | Representation |
|---|---|
| bin | 1001110011101010110111001… |
| … | …0010000010000100101000000 |
| 3 | 10100111112210112112022101020200 |
| 4 | 2130322231302100100211000 |
| 5 | 1210424043020100404000 |
| 6 | 10443441225045405200 |
| 7 | 265236154252251300 |
| oct | 23472556220204500 |
| 9 | 3314483475271220 |
| 10 | 690130146888000 |
| 11 | 18a995608298375 |
| 12 | 6549ba19a09800 |
| 13 | 23810cbbc4b450 |
| 14 | c25c697b35600 |
| 15 | 54bbd07725500 |
| hex | 273ab72410940 |
690130146888000 has 4032 divisors, whose sum is σ = 3214081482131520. Its totient is φ = 139940462592000.
The previous prime is 690130146887957. The next prime is 690130146888001. The reversal of 690130146888000 is 888641031096.
690130146888000 is a `hidden beast` number, since 6 + 90 + 13 + 0 + 1 + 468 + 8 + 80 + 0 + 0 = 666.
It can be written as a sum of positive squares in 32 ways, for example, as 679184477524224 + 10945669363776 = 26061168^2 + 3308424^2 .
It is a tau number, because it is divible by the number of its divisors (4032).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (690130146888001) by changing a digit.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 320543494924 + ... + 320543497076.
It is an arithmetic number, because the mean of its divisors is an integer number (797143224735).
Almost surely, 2690130146888000 is an apocalyptic number.
690130146888000 is a gapful number since it is divisible by the number (60) 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 690130146888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040741065760).
690130146888000 is an abundant number, since it is smaller than the sum of its proper divisors (2523951335243520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
690130146888000 is a wasteful number, since it uses less digits than its factorization.
690130146888000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2483 (or 2453 counting only the distinct ones).
The product of its (nonzero) digits is 1990656, while the sum is 54.
The spelling of 690130146888000 in words is "six hundred ninety trillion, one hundred thirty billion, one hundred forty-six million, eight hundred eighty-eight thousand".
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