| Base | Representation |
|---|---|
| bin | 11110101111100111100… |
| … | …11001011001111100000 |
| 3 | 10201222122100120012011000 |
| 4 | 33113303303023033200 |
| 5 | 114301404430011100 |
| 6 | 2125141150152000 |
| 7 | 136214342420112 |
| oct | 17276363131740 |
| 9 | 3658570505130 |
| 10 | 1056357266400 |
| 11 | 377aa9157317 |
| 12 | 15088bab2600 |
| 13 | 787ca132a57 |
| 14 | 391b11c53b2 |
| 15 | 1c7292b5900 |
| hex | f5f3ccb3e0 |
1056357266400 has 576 divisors, whose sum is σ = 3992369472000. Its totient is φ = 269057986560.
The previous prime is 1056357266399. The next prime is 1056357266401. The reversal of 1056357266400 is 46627536501.
1056357266400 is a `hidden beast` number, since 1 + 0 + 5 + 635 + 7 + 2 + 6 + 6 + 4 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1056357266399) and next prime (1056357266401).
It is a super-2 number, since 2×10563572664002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1056357266401) 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, 521142187 + ... + 521144213.
It is an arithmetic number, because the mean of its divisors is an integer number (6931197000).
Almost surely, 21056357266400 is an apocalyptic number.
1056357266400 is a gapful number since it is divisible by the number (10) 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 1056357266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996184736000).
1056357266400 is an abundant number, since it is smaller than the sum of its proper divisors (2936012205600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056357266400 is a wasteful number, since it uses less digits than its factorization.
1056357266400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3128 (or 3109 counting only the distinct ones).
The product of its (nonzero) digits is 907200, while the sum is 45.
The spelling of 1056357266400 in words is "one trillion, fifty-six billion, three hundred fifty-seven million, two hundred sixty-six thousand, four hundred".
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