| Base | Representation |
|---|---|
| bin | 101010001010010011… |
| … | …0101111000000000000 |
| 3 | 22122200220000010200000 |
| 4 | 1110110212233000000 |
| 5 | 2440411220332040 |
| 6 | 105332110400000 |
| 7 | 6353444254110 |
| oct | 1242446570000 |
| 9 | 278626003600 |
| 10 | 90540011520 |
| 11 | 35441526802 |
| 12 | 15669800000 |
| 13 | 86cb97621a |
| 14 | 454c90b040 |
| 15 | 254d99a130 |
| hex | 15149af000 |
90540011520 has 1248 divisors, whose sum is σ = 391557583872. Its totient is φ = 19619905536.
The previous prime is 90540011519. The next prime is 90540011521. The reversal of 90540011520 is 2511004509.
90540011520 is a `hidden beast` number, since 9 + 0 + 540 + 0 + 115 + 2 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (90540011519) and next prime (90540011521).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (90540011521) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 801238984 + ... + 801239096.
It is an arithmetic number, because the mean of its divisors is an integer number (313748064).
Almost surely, 290540011520 is an apocalyptic number.
90540011520 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 90540011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195778791936).
90540011520 is an abundant number, since it is smaller than the sum of its proper divisors (301017572352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90540011520 is a wasteful number, since it uses less digits than its factorization.
90540011520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 187 (or 153 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 27.
The spelling of 90540011520 in words is "ninety billion, five hundred forty million, eleven thousand, five hundred twenty".
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