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2512207056 = 243193774449
BaseRepresentation
bin1001010110111101…
…0011110011010000
320111002011100012210
42111233103303100
520121111111211
61053141152120
7116153256552
oct22557236320
96432140183
102512207056
11107a091387
125a13bb640
13310614768
1419b90b4d2
15ea83c9a6
hex95bd3cd0

2512207056 has 80 divisors (see below), whose sum is σ = 7016168000. Its totient is φ = 771876864.

The previous prime is 2512207051. The next prime is 2512207111. The reversal of 2512207056 is 6507022152.

It is a super-2 number, since 2×25122070562 = 12622368584432374272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512207051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3481 + ... + 70968.

It is an arithmetic number, because the mean of its divisors is an integer number (87702100).

Almost surely, 22512207056 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 2512207056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508084000).

2512207056 is an abundant number, since it is smaller than the sum of its proper divisors (4503960944).

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

2512207056 is a wasteful number, since it uses less digits than its factorization.

2512207056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74516 (or 74510 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2512207056 is about 50121.9219104775. The cubic root of 2512207056 is about 1359.4142258191.

The spelling of 2512207056 in words is "two billion, five hundred twelve million, two hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 703 888 912 1406 1776 2109 2812 4218 5624 8436 11248 16872 33744 74449 148898 223347 297796 446694 595592 893388 1191184 1414531 1786776 2754613 2829062 3573552 4243593 5509226 5658124 8263839 8487186 11018452 11316248 16527678 16974372 22036904 22632496 33055356 33948744 44073808 52337647 66110712 67897488 104675294 132221424 157012941 209350588 314025882 418701176 628051764 837402352 1256103528 2512207056