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1052563501116 = 223237977144789
BaseRepresentation
bin11110101000100011010…
…11000111000000111100
310201121211221220221112200
433110101223013000330
5114221122224013431
62123312504431500
7136021335065661
oct17242153070074
93647757827480
101052563501116
11376431724306
1214bbb1478590
137834416c41a
1438d313d7a68
151c5a61cbee6
hexf511ac703c

1052563501116 has 36 divisors (see below), whose sum is σ = 2667666838200. Its totient is φ = 349928758368.

The previous prime is 1052563501111. The next prime is 1052563501159. The reversal of 1052563501116 is 6111053652501.

1052563501116 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 635 + 0 + 1 + 1 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10525635011162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052563501111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38558751 + ... + 38586038.

Almost surely, 21052563501116 is an apocalyptic number.

It is an amenable number.

1052563501116 is an abundant number, since it is smaller than the sum of its proper divisors (1615103337084).

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

1052563501116 is a wasteful number, since it uses less digits than its factorization.

1052563501116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77145178 (or 77145173 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1052563501116 in words is "one trillion, fifty-two billion, five hundred sixty-three million, five hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 379 758 1137 1516 2274 3411 4548 6822 13644 77144789 154289578 231434367 308579156 462868734 694303101 925737468 1388606202 2777212404 29237875031 58475750062 87713625093 116951500124 175427250186 263140875279 350854500372 526281750558 1052563501116