| Base | Representation |
|---|---|
| bin | 1110101110010101101… |
| … | …0110000100000000000 |
| 3 | 220011221000102002202200 |
| 4 | 3223211122300200000 |
| 5 | 13121024004200112 |
| 6 | 312112404313200 |
| 7 | 24163340605440 |
| oct | 3534532604000 |
| 9 | 804830362680 |
| 10 | 252957100032 |
| 11 | 9830776327a |
| 12 | 410369a2800 |
| 13 | 1ab13902920 |
| 14 | c35944c120 |
| 15 | 68a7736cdc |
| hex | 3ae56b0800 |
252957100032 has 1152 divisors, whose sum is σ = 961602969600. Its totient is φ = 62246486016.
The previous prime is 252957100031. The next prime is 252957100057. The reversal of 252957100032 is 230001759252.
252957100032 is a `hidden beast` number, since 2 + 52 + 9 + 571 + 0 + 0 + 0 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-4 number, since 4×2529571000324 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 252957100032.
It is not an unprimeable number, because it can be changed into a prime (252957100031) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3047675863 + ... + 3047675945.
It is an arithmetic number, because the mean of its divisors is an integer number (834724800).
Almost surely, 2252957100032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 252957100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480801484800).
252957100032 is an abundant number, since it is smaller than the sum of its proper divisors (708645869568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252957100032 is a wasteful number, since it uses less digits than its factorization.
252957100032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 233 (or 210 counting only the distinct ones).
The product of its (nonzero) digits is 37800, while the sum is 36.
Adding to 252957100032 its reverse (230001759252), we get a palindrome (482958859284).
The spelling of 252957100032 in words is "two hundred fifty-two billion, nine hundred fifty-seven million, one hundred thousand, thirty-two".
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