| Base | Representation |
|---|---|
| bin | 101101101100101100… |
| … | …100100111000000000 |
| 3 | 11200122122121010102200 |
| 4 | 231230230210320000 |
| 5 | 1300442433434320 |
| 6 | 34312555113200 |
| 7 | 3354646241031 |
| oct | 555454447000 |
| 9 | 150578533380 |
| 10 | 49068264960 |
| 11 | 1989a8357a0 |
| 12 | 9614a42800 |
| 13 | 481ca14710 |
| 14 | 2536ab2a88 |
| 15 | 1422b9a290 |
| hex | b6cb24e00 |
49068264960 has 960 divisors, whose sum is σ = 204137309376. Its totient is φ = 10734796800.
The previous prime is 49068264943. The next prime is 49068264977. The reversal of 49068264960 is 6946286094.
49068264960 is a `hidden beast` number, since 4 + 90 + 68 + 2 + 6 + 496 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (49068264943) and next prime (49068264977).
It is a tau number, because it is divible by the number of its divisors (960).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 49068264897 and 49068264906.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174620020 + ... + 174620300.
Almost surely, 249068264960 is an apocalyptic number.
49068264960 is a gapful number since it is divisible by the number (40) 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 49068264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102068654688).
49068264960 is an abundant number, since it is smaller than the sum of its proper divisors (155069044416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49068264960 is a wasteful number, since it uses less digits than its factorization.
49068264960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 387 (or 368 counting only the distinct ones).
The product of its (nonzero) digits is 4478976, while the sum is 54.
It can be divided in two parts, 49068 and 264960, that added together give a triangular number (314028 = T792).
The spelling of 49068264960 in words is "forty-nine billion, sixty-eight million, two hundred sixty-four thousand, nine hundred sixty".
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