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1053061265268 = 223366591464269
BaseRepresentation
bin11110101001011110101…
…01111011011101110100
310201200010122112222121000
433110233111323131310
5114223132140442033
62123434125323300
7136036561031265
oct17245725733564
93650118488530
101053061265268
113766676a3941
12150110106530
13783c332091c
1438d7b56a96c
151c5d4c52a13
hexf52f57b774

1053061265268 has 48 divisors (see below), whose sum is σ = 2730570696000. Its totient is φ = 350967468384.

The previous prime is 1053061265257. The next prime is 1053061265279. The reversal of 1053061265268 is 8625621603501.

1053061265268 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 0 + 612 + 6 + 5 + 26 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1053061265257) and next prime (1053061265279).

It is a super-3 number, since 3×10530612652683 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 12963 + ... + 1451306.

It is an arithmetic number, because the mean of its divisors is an integer number (56886889500).

Almost surely, 21053061265268 is an apocalyptic number.

1053061265268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1053061265268 is an abundant number, since it is smaller than the sum of its proper divisors (1677509430732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053061265268 is a wasteful number, since it uses less digits than its factorization.

1053061265268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470941 (or 1470933 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

Adding to 1053061265268 its reverse (8625621603501), we get a palindrome (9678682868769).

The spelling of 1053061265268 in words is "one trillion, fifty-three billion, sixty-one million, two hundred sixty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 6659 13318 19977 26636 39954 59931 79908 119862 179793 239724 359586 719172 1464269 2928538 4392807 5857076 8785614 13178421 17571228 26356842 39535263 52713684 79070526 158141052 9750567271 19501134542 29251701813 39002269084 58503403626 87755105439 117006807252 175510210878 263265316317 351020421756 526530632634 1053061265268