Base | Representation |
---|---|
bin | 100011110001111001110010… |
… | …100000010011101110000000 |
3 | 202122011120001222021221120000 |
4 | 203301321302200103232000 |
5 | 131111200142303102343 |
6 | 1314402340425320000 |
7 | 45100644416553561 |
oct | 4361716240235600 |
9 | 678146058257500 |
10 | 157360932862848 |
11 | 4615a4402345a0 |
12 | 1579572a036000 |
13 | 69a60c2ab1a70 |
14 | 2ac044a0ba168 |
15 | 132d4bb8aded3 |
hex | 8f1e72813b80 |
157360932862848 has 2560 divisors, whose sum is σ = 582162748231680. Its totient is φ = 41543398195200.
The previous prime is 157360932862811. The next prime is 157360932862867. The reversal of 157360932862848 is 848268239063751.
157360932862848 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 60 + 9 + 3 + 286 + 284 + 8 = 666.
It is a super-2 number, since 2×1573609328628482 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 421879176390 + ... + 421879176762.
It is an arithmetic number, because the mean of its divisors is an integer number (227407323528).
It is a 1-persistent number, because it is pandigital, but 2⋅157360932862848 = 314721865725696 is not.
Almost surely, 2157360932862848 is an apocalyptic number.
157360932862848 is a gapful number since it is divisible by the number (18) 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 157360932862848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291081374115840).
157360932862848 is an abundant number, since it is smaller than the sum of its proper divisors (424801815368832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157360932862848 is a wasteful number, since it uses less digits than its factorization.
157360932862848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 658 (or 637 counting only the distinct ones).
The product of its (nonzero) digits is 836075520, while the sum is 72.
The spelling of 157360932862848 in words is "one hundred fifty-seven trillion, three hundred sixty billion, nine hundred thirty-two million, eight hundred sixty-two thousand, eight hundred forty-eight".
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