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12732971776 = 28713195387
BaseRepresentation
bin10111101101111000…
…11011101100000000
31012212101022222121021
423312330123230000
5202034120044101
65503251435224
7630351321460
oct136674335400
935771288537
1012732971776
115444481178
1225742b5b14
13127bc79735
1488b0d9ba0
154e7ca75a1
hex2f6f1bb00

12732971776 has 72 divisors (see below), whose sum is σ = 29074510080. Its totient is φ = 5451838464.

The previous prime is 12732971759. The next prime is 12732971791. The reversal of 12732971776 is 67717923721.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2360955 + ... + 2366341.

It is an arithmetic number, because the mean of its divisors is an integer number (403812640).

Almost surely, 212732971776 is an apocalyptic number.

12732971776 is a gapful number since it is divisible by the number (16) 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 12732971776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14537255040).

12732971776 is an abundant number, since it is smaller than the sum of its proper divisors (16341538304).

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

12732971776 is an equidigital number, since it uses as much as digits as its factorization.

12732971776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6715 counting only the distinct ones).

The product of its digits is 1555848, while the sum is 52.

The spelling of 12732971776 in words is "twelve billion, seven hundred thirty-two million, nine hundred seventy-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1319 1792 2638 5276 5387 9233 10552 10774 18466 21104 21548 36932 37709 42208 43096 73864 75418 84416 86192 147728 150836 168832 172384 295456 301672 337664 344768 590912 603344 689536 1181824 1206688 1379072 2363648 2413376 4826752 7105453 9653504 14210906 28421812 49738171 56843624 99476342 113687248 198952684 227374496 397905368 454748992 795810736 909497984 1591621472 1818995968 3183242944 6366485888 12732971776