Base | Representation |
---|---|
bin | 110110110111101001… |
… | …010000110100000000 |
3 | 12122001221010200222102 |
4 | 312313221100310000 |
5 | 1431124344402034 |
6 | 43022050125532 |
7 | 4153661345141 |
oct | 666751206400 |
9 | 178057120872 |
10 | 58915622144 |
11 | 22a93372a15 |
12 | b5028808a8 |
13 | 572bbb90a2 |
14 | 2bcc85dac8 |
15 | 17ec45597e |
hex | db7a50d00 |
58915622144 has 144 divisors (see below), whose sum is σ = 128307464208. Its totient is φ = 26886537216.
The previous prime is 58915622119. The next prime is 58915622167. The reversal of 58915622144 is 44122651985.
It can be written as a sum of positive squares in 8 ways, for example, as 930982144 + 57984640000 = 30512^2 + 240800^2 .
It is a super-2 number, since 2×589156221442 (a number of 22 digits) contains 22 as substring.
Its product of digits (691200) is a multiple of the sum of its prime factors (1280).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95486924 + ... + 95487540.
It is an arithmetic number, because the mean of its divisors is an integer number (891024057).
Almost surely, 258915622144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 58915622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64153732104).
58915622144 is an abundant number, since it is smaller than the sum of its proper divisors (69391842064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58915622144 is a wasteful number, since it uses less digits than its factorization.
58915622144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1280 (or 1266 counting only the distinct ones).
The product of its digits is 691200, while the sum is 47.
The spelling of 58915622144 in words is "fifty-eight billion, nine hundred fifteen million, six hundred twenty-two thousand, one hundred forty-four".
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