Base | Representation |
---|---|
bin | 100011101101110110100001… |
… | …101101110111110000000000 |
3 | 202121011221112010201121010000 |
4 | 203231312201231313300000 |
5 | 131042120031312320331 |
6 | 1314030421143040000 |
7 | 45041561035105110 |
oct | 4355664155676000 |
9 | 677157463647100 |
10 | 157082552073216 |
11 | 4606237756a000 |
12 | 1574b798a40000 |
13 | 6985a89c5b733 |
14 | 2ab0b9c315040 |
15 | 13261271b20e6 |
hex | 8edda1b77c00 |
157082552073216 has 3520 divisors, whose sum is σ = 623811717365760. Its totient is φ = 38515013222400.
The previous prime is 157082552073211. The next prime is 157082552073287. The reversal of 157082552073216 is 612370255280751.
157082552073216 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 8 + 2 + 552 + 0 + 73 + 2 + 16 = 666.
157082552073216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (157082552073211) by changing a digit.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1892560868311 + ... + 1892560868393.
It is an arithmetic number, because the mean of its divisors is an integer number (177219237888).
Almost surely, 2157082552073216 is an apocalyptic number.
157082552073216 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 157082552073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311905858682880).
157082552073216 is an abundant number, since it is smaller than the sum of its proper divisors (466729165292544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157082552073216 is an equidigital number, since it uses as much as digits as its factorization.
157082552073216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 265 (or 216 counting only the distinct ones).
The product of its (nonzero) digits is 7056000, while the sum is 54.
The spelling of 157082552073216 in words is "one hundred fifty-seven trillion, eighty-two billion, five hundred fifty-two million, seventy-three thousand, two hundred sixteen".
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