| Base | Representation |
|---|---|
| bin | 10100100111001111000010… |
| … | …011001010001001000000000 |
| 3 | 102212222201220200121222100000 |
| 4 | 110213033002121101020000 |
| 5 | 43340311303321322240 |
| 6 | 520451151405200000 |
| 7 | 25044522226366140 |
| oct | 2447170231211000 |
| 9 | 385881820558300 |
| 10 | 90657136120320 |
| 11 | 26982525a05600 |
| 12 | a201b63560000 |
| 13 | 3b77c14c70053 |
| 14 | 1855b86328920 |
| 15 | a733007e5430 |
| hex | 5273c2651200 |
90657136120320 has 5760 divisors, whose sum is σ = 449295118272000. Its totient is φ = 17069317816320.
The previous prime is 90657136120301. The next prime is 90657136120373. The reversal of 90657136120320 is 2302163175609.
90657136120320 is a `hidden beast` number, since 9 + 0 + 6 + 5 + 7 + 1 + 3 + 612 + 0 + 3 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (5760).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 259762567506 + ... + 259762567854.
It is an arithmetic number, because the mean of its divisors is an integer number (78002624700).
Almost surely, 290657136120320 is an apocalyptic number.
90657136120320 is a gapful number since it is divisible by the number (90) 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 90657136120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224647559136000).
90657136120320 is an abundant number, since it is smaller than the sum of its proper divisors (358637982151680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90657136120320 is a wasteful number, since it uses less digits than its factorization.
90657136120320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 462 (or 423 counting only the distinct ones).
The product of its (nonzero) digits is 408240, while the sum is 45.
Adding to 90657136120320 its reverse (2302163175609), we get a palindrome (92959299295929).
The spelling of 90657136120320 in words is "ninety trillion, six hundred fifty-seven billion, one hundred thirty-six million, one hundred twenty thousand, three hundred twenty".
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