| Base | Representation |
|---|---|
| bin | 10100100100111100000110… |
| … | …101111010100000000000000 |
| 3 | 102212102122200121212211120000 |
| 4 | 110210330012233110000000 |
| 5 | 43330220201423210000 |
| 6 | 520250500335320000 |
| 7 | 25030235504555460 |
| oct | 2444740657240000 |
| 9 | 385378617784500 |
| 10 | 90499368960000 |
| 11 | 269216265119a0 |
| 12 | a197473680000 |
| 13 | 3b66091492450 |
| 14 | 184c29b19dba0 |
| 15 | a6e169db0000 |
| hex | 524f06bd4000 |
90499368960000 has 6000 divisors, whose sum is σ = 457788669233280. Its totient is φ = 17199267840000.
The previous prime is 90499368959981. The next prime is 90499368960023. The reversal of 90499368960000 is 6986399409.
90499368960000 is a `hidden beast` number, since 9 + 0 + 499 + 3 + 6 + 89 + 60 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (6000).
It is a super-2 number, since 2×904993689600002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 90499368960000.
It is a congruent number.
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 399 ways as a sum of consecutive naturals, for example, 830269439946 + ... + 830269440054.
Almost surely, 290499368960000 is an apocalyptic number.
90499368960000 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 90499368960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228894334616640).
90499368960000 is an abundant number, since it is smaller than the sum of its proper divisors (367289300273280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90499368960000 is a wasteful number, since it uses less digits than its factorization.
90499368960000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200 (or 150 counting only the distinct ones).
The product of its (nonzero) digits is 22674816, while the sum is 63.
The spelling of 90499368960000 in words is "ninety trillion, four hundred ninety-nine billion, three hundred sixty-eight million, nine hundred sixty thousand".
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