| Base | Representation |
|---|---|
| bin | 1110110000110010110… |
| … | …1110010100010011100 |
| 3 | 220020121222000001001000 |
| 4 | 3230030231302202130 |
| 5 | 13123401244304130 |
| 6 | 312302035350300 |
| 7 | 24215564556366 |
| oct | 3541455624234 |
| 9 | 806558001030 |
| 10 | 253616400540 |
| 11 | 98615934528 |
| 12 | 4119b752390 |
| 13 | 1abba391c79 |
| 14 | c3bcc2dd36 |
| 15 | 68e556a260 |
| hex | 3b0cb7289c |
253616400540 has 144 divisors (see below), whose sum is σ = 802634787360. Its totient is φ = 66484258560.
The previous prime is 253616400511. The next prime is 253616400551. The reversal of 253616400540 is 45004616352.
253616400540 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 1 + 640 + 0 + 5 + 4 + 0 = 666.
253616400540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 253616400495 and 253616400504.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 1812280 + ... + 1947200.
It is an arithmetic number, because the mean of its divisors is an integer number (5573852690).
Almost surely, 2253616400540 is an apocalyptic number.
253616400540 is a gapful number since it is divisible by the number (20) 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 253616400540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401317393680).
253616400540 is an abundant number, since it is smaller than the sum of its proper divisors (549018386820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
253616400540 is a wasteful number, since it uses less digits than its factorization.
253616400540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 135057 (or 134990 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The spelling of 253616400540 in words is "two hundred fifty-three billion, six hundred sixteen million, four hundred thousand, five hundred forty".
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