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12776502740 = 2252960136653
BaseRepresentation
bin10111110011000100…
…11111010111010100
31012222102020120212012
423321202133113110
5202131241041430
65511444443352
7631420324061
oct137142372724
935872216765
1012776502740
115467003681
1225869a9558
131287cab4c1
14892bcbc68
154eba05695
hex2f989f5d4

12776502740 has 48 divisors (see below), whose sum is σ = 27802792080. Its totient is φ = 4926028800.

The previous prime is 12776502707. The next prime is 12776502743. The reversal of 12776502740 is 4720567721.

It can be written as a sum of positive squares in 8 ways, for example, as 78818884 + 12697683856 = 8878^2 + 112684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12776502743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330254 + ... + 366906.

It is an arithmetic number, because the mean of its divisors is an integer number (579224835).

Almost surely, 212776502740 is an apocalyptic number.

12776502740 is a gapful number since it is divisible by the number (10) 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 12776502740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13901396040).

12776502740 is an abundant number, since it is smaller than the sum of its proper divisors (15026289340).

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

12776502740 is a wasteful number, since it uses less digits than its factorization.

12776502740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37292 (or 37290 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The spelling of 12776502740 in words is "twelve billion, seven hundred seventy-six million, five hundred two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 601 1202 2404 3005 6010 12020 17429 34858 36653 69716 73306 87145 146612 174290 183265 348580 366530 733060 1062937 2125874 4251748 5314685 10629370 21258740 22028453 44056906 88113812 110142265 220284530 440569060 638825137 1277650274 2555300548 3194125685 6388251370 12776502740