| Base | Representation |
|---|---|
| bin | 101001111011111001… |
| … | …1001011110100000000 |
| 3 | 22121110012122012021200 |
| 4 | 1103313303023310000 |
| 5 | 2433414011023000 |
| 6 | 105212124221200 |
| 7 | 6335455424430 |
| oct | 1236763136400 |
| 9 | 277405565250 |
| 10 | 90056736000 |
| 11 | 35213752750 |
| 12 | 1555399a800 |
| 13 | 86527c868a |
| 14 | 450466a2c0 |
| 15 | 2521337500 |
| hex | 14f7ccbd00 |
90056736000 has 1728 divisors, whose sum is σ = 420227039232. Its totient is φ = 17971200000.
The previous prime is 90056735999. The next prime is 90056736001. The reversal of 90056736000 is 63765009.
It is a happy number.
90056736000 is a `hidden beast` number, since 90 + 0 + 567 + 3 + 6 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (90056735999) and next prime (90056736001).
It is a super-2 number, since 2×900567360002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (90056736001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 687455935 + ... + 687456065.
It is an arithmetic number, because the mean of its divisors is an integer number (243186944).
Almost surely, 290056736000 is an apocalyptic number.
90056736000 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 90056736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210113519616).
90056736000 is an abundant number, since it is smaller than the sum of its proper divisors (330170303232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90056736000 is a wasteful number, since it uses less digits than its factorization.
90056736000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 217 (or 190 counting only the distinct ones).
The product of its (nonzero) digits is 34020, while the sum is 36.
The spelling of 90056736000 in words is "ninety billion, fifty-six million, seven hundred thirty-six thousand".
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