| Base | Representation |
|---|---|
| bin | 100011101111011100100101… |
| … | …000011110111100000000000 |
| 3 | 202121120102100210121202100210 |
| 4 | 203233130211003313200000 |
| 5 | 131100413440214241211 |
| 6 | 1314153022330514120 |
| 7 | 45052520341532256 |
| oct | 4357344503674000 |
| 9 | 677512323552323 |
| 10 | 157192129837056 |
| 11 | 460a4898336906 |
| 12 | 15768a7a295940 |
| 13 | 6993200b2cb52 |
| 14 | 2ab61d53c65d6 |
| 15 | 1328ddc1a29a6 |
| hex | 8ef7250f7800 |
157192129837056 has 384 divisors, whose sum is σ = 467193793248000. Its totient is φ = 46708497580032.
The previous prime is 157192129837051. The next prime is 157192129837063. The reversal of 157192129837056 is 650738921291751.
157192129837056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×1571921298370562 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (157192129837051) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12456775515 + ... + 12456788133.
It is an arithmetic number, because the mean of its divisors is an integer number (1216650503250).
Almost surely, 2157192129837056 is an apocalyptic number.
157192129837056 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 157192129837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233596896624000).
157192129837056 is an abundant number, since it is smaller than the sum of its proper divisors (310001663410944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157192129837056 is a wasteful number, since it uses less digits than its factorization.
157192129837056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18957 (or 18937 counting only the distinct ones).
The product of its (nonzero) digits is 57153600, while the sum is 66.
The spelling of 157192129837056 in words is "one hundred fifty-seven trillion, one hundred ninety-two billion, one hundred twenty-nine million, eight hundred thirty-seven thousand, fifty-six".
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