| Base | Representation |
|---|---|
| bin | 110000100000000100… |
| … | …000100110101110000 |
| 3 | 11222102101002111011000 |
| 4 | 300200010010311300 |
| 5 | 1323123322444424 |
| 6 | 35531334322000 |
| 7 | 3522346562460 |
| oct | 604004046560 |
| 9 | 158371074130 |
| 10 | 52077546864 |
| 11 | 200a4465832 |
| 12 | a1147b9300 |
| 13 | 4bac2c89b5 |
| 14 | 2740613ba0 |
| 15 | 154be743c9 |
| hex | c20104d70 |
52077546864 has 640 divisors, whose sum is σ = 185131008000. Its totient is φ = 13696100352.
The previous prime is 52077546847. The next prime is 52077546881. The reversal of 52077546864 is 46864577025.
It is a happy number.
52077546864 is a `hidden beast` number, since 5 + 20 + 77 + 546 + 8 + 6 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (52077546847) and next prime (52077546881).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 52077546864.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290935927 + ... + 290936105.
It is an arithmetic number, because the mean of its divisors is an integer number (289267200).
Almost surely, 252077546864 is an apocalyptic number.
52077546864 is a gapful number since it is divisible by the number (54) 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 52077546864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92565504000).
52077546864 is an abundant number, since it is smaller than the sum of its proper divisors (133053461136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52077546864 is a wasteful number, since it uses less digits than its factorization.
52077546864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 362 (or 350 counting only the distinct ones).
The product of its (nonzero) digits is 11289600, while the sum is 54.
The spelling of 52077546864 in words is "fifty-two billion, seventy-seven million, five hundred forty-six thousand, eight hundred sixty-four".
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