| Base | Representation |
|---|---|
| bin | 101010010001110100… |
| … | …1110101111001000000 |
| 3 | 22200100111002002101000 |
| 4 | 1110203221311321000 |
| 5 | 2441420334000131 |
| 6 | 105413130012000 |
| 7 | 6362631245514 |
| oct | 1244351657100 |
| 9 | 280314062330 |
| 10 | 90792484416 |
| 11 | 35560a99397 |
| 12 | 1571a277000 |
| 13 | 873c07337a |
| 14 | 457426c144 |
| 15 | 2565c1bce6 |
| hex | 1523a75e40 |
90792484416 has 224 divisors, whose sum is σ = 269505541760. Its totient is φ = 29971814400.
The previous prime is 90792484411. The next prime is 90792484421. The reversal of 90792484416 is 61448429709.
90792484416 is a `hidden beast` number, since 90 + 79 + 2 + 48 + 441 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (90792484411) and next prime (90792484421).
It is a super-2 number, since 2×907924844162 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (90792484411) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 103525770 + ... + 103526646.
It is an arithmetic number, because the mean of its divisors is an integer number (1203149740).
Almost surely, 290792484416 is an apocalyptic number.
90792484416 is a gapful number since it is divisible by the number (96) 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 90792484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134752770880).
90792484416 is an abundant number, since it is smaller than the sum of its proper divisors (178713057344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90792484416 is a wasteful number, since it uses less digits than its factorization.
90792484416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1410 (or 1394 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 54.
The spelling of 90792484416 in words is "ninety billion, seven hundred ninety-two million, four hundred eighty-four thousand, four hundred sixteen".
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