Base | Representation |
---|---|
bin | 11110101010010101101… |
… | …01110101010100100000 |
3 | 10201201022210122220102220 |
4 | 33111022311311110200 |
5 | 114230103242113121 |
6 | 2123552005511040 |
7 | 136054162314051 |
oct | 17251265652440 |
9 | 3651283586386 |
10 | 1053522613536 |
11 | 3768840606a8 |
12 | 15021a712480 |
13 | 78467a91a73 |
14 | 38dc2940728 |
15 | 1c6104d36c6 |
hex | f54ad75520 |
1053522613536 has 96 divisors (see below), whose sum is σ = 2863192147200. Its totient is φ = 338788208640.
The previous prime is 1053522613523. The next prime is 1053522613589. The reversal of 1053522613536 is 6353162253501.
1053522613536 is digitally balanced in base 2, 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 (96).
It is a super-2 number, since 2×10535226135362 (a number of 25 digits) contains 22 as substring.
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, 3273400 + ... + 3580808.
It is an arithmetic number, because the mean of its divisors is an integer number (29824918200).
Almost surely, 21053522613536 is an apocalyptic number.
1053522613536 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 1053522613536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431596073600).
1053522613536 is an abundant number, since it is smaller than the sum of its proper divisors (1809669533664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1053522613536 is a wasteful number, since it uses less digits than its factorization.
1053522613536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 308682 (or 308674 counting only the distinct ones).
The product of its (nonzero) digits is 486000, while the sum is 42.
The spelling of 1053522613536 in words is "one trillion, fifty-three billion, five hundred twenty-two million, six hundred thirteen thousand, five hundred thirty-six".
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