| Base | Representation |
|---|---|
| bin | 10000110101110001101… |
| … | …011000111110100100000 |
| 3 | 11002122001222022101200000 |
| 4 | 100311301223013310200 |
| 5 | 122430023323113011 |
| 6 | 2243345043100000 |
| 7 | 146415550010400 |
| oct | 20656153076440 |
| 9 | 4078058271600 |
| 10 | 1157253332256 |
| 11 | 406874377a0a |
| 12 | 168349971600 |
| 13 | 8518948c278 |
| 14 | 4002325a800 |
| 15 | 20182001356 |
| hex | 10d71ac7d20 |
1157253332256 has 1728 divisors, whose sum is σ = 4405990837248. Its totient is φ = 296942671872.
The previous prime is 1157253332231. The next prime is 1157253332273. The reversal of 1157253332256 is 6522333527511.
1157253332256 is a `hidden beast` number, since 1 + 1 + 572 + 5 + 3 + 3 + 3 + 22 + 56 = 666.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
Its product of digits (1134000) is a multiple of the sum of its prime factors (225).
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 287 ways as a sum of consecutive naturals, for example, 13942811191 + ... + 13942811273.
It is an arithmetic number, because the mean of its divisors is an integer number (2549763216).
Almost surely, 21157253332256 is an apocalyptic number.
1157253332256 is a gapful number since it is divisible by the number (16) 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 1157253332256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202995418624).
1157253332256 is an abundant number, since it is smaller than the sum of its proper divisors (3248737504992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1157253332256 is a wasteful number, since it uses less digits than its factorization.
1157253332256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 225 (or 198 counting only the distinct ones).
The product of its digits is 1134000, while the sum is 45.
Adding to 1157253332256 its reverse (6522333527511), we get a palindrome (7679586859767).
The spelling of 1157253332256 in words is "one trillion, one hundred fifty-seven billion, two hundred fifty-three million, three hundred thirty-two thousand, two hundred fifty-six".
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