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8112180252 = 2231128396659
BaseRepresentation
bin1111000111000011…
…00000110000011100
3202221100111110021110
413203201200300130
5113103204232002
63420544102020
7405012252201
oct74341406034
922840443243
108112180252
113493129100
1216a4904910
139c385c977
1456d549ca8
153272a8e6c
hex1e3860c1c

8112180252 has 72 divisors (see below), whose sum is σ = 20833545600. Its totient is φ = 2454937760.

The previous prime is 8112180217. The next prime is 8112180253. The reversal of 8112180252 is 2520812118.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8112180253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214899 + ... + 1221557.

It is an arithmetic number, because the mean of its divisors is an integer number (289354800).

Almost surely, 28112180252 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 8112180252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416772800).

8112180252 is an abundant number, since it is smaller than the sum of its proper divisors (12721365348).

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

8112180252 is a wasteful number, since it uses less digits than its factorization.

8112180252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7527 (or 7514 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 8112180252 is about 90067.6426470683. The cubic root of 8112180252 is about 2009.3049957228.

The spelling of 8112180252 in words is "eight billion, one hundred twelve million, one hundred eighty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 839 1452 1678 2517 3356 5034 6659 9229 10068 13318 18458 19977 26636 27687 36916 39954 55374 73249 79908 101519 110748 146498 203038 219747 292996 304557 406076 439494 609114 805739 878988 1218228 1611478 2417217 3222956 4834434 5586901 9668868 11173802 16760703 22347604 33521406 61455911 67042812 122911822 184367733 245823644 368735466 676015021 737470932 1352030042 2028045063 2704060084 4056090126 8112180252