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12973780736 = 28731474969
BaseRepresentation
bin11000001010100110…
…00010111100000000
31020111011110100101122
430011103002330000
5203032241440421
65543213051412
7636334213430
oct140523027400
936434410348
1012973780736
1155583a7544
122620a86b68
1312b9b21847
148b10a22c0
1550dec32ab
hex3054c2f00

12973780736 has 144 divisors (see below), whose sum is σ = 31207464960. Its totient is φ = 5265285120.

The previous prime is 12973780727. The next prime is 12973780739. The reversal of 12973780736 is 63708737921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973780739) 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, 2608460 + ... + 2613428.

Almost surely, 212973780736 is an apocalyptic number.

12973780736 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 12973780736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603732480).

12973780736 is an abundant number, since it is smaller than the sum of its proper divisors (18233684224).

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

12973780736 is an equidigital number, since it uses as much as digits as its factorization.

12973780736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 53.

The spelling of 12973780736 in words is "twelve billion, nine hundred seventy-three million, seven hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 47 56 62 64 94 112 124 128 188 217 224 248 256 329 376 434 448 496 658 752 868 896 992 1316 1457 1504 1736 1792 1984 2632 2914 3008 3472 3968 4969 5264 5828 6016 6944 7936 9938 10199 10528 11656 12032 13888 19876 20398 21056 23312 27776 34783 39752 40796 42112 46624 55552 69566 79504 81592 84224 93248 139132 154039 159008 163184 186496 233543 278264 308078 318016 326368 372992 467086 556528 616156 636032 652736 934172 1078273 1113056 1232312 1272064 1305472 1634801 1868344 2156546 2226112 2464624 2610944 3269602 3736688 4313092 4452224 4929248 6539204 7239833 7473376 8626184 8904448 9858496 13078408 14479666 14946752 17252368 19716992 26156816 28959332 29893504 34504736 39433984 50678831 52313632 57918664 59787008 69009472 101357662 104627264 115837328 138018944 202715324 209254528 231674656 276037888 405430648 418509056 463349312 810861296 926698624 1621722592 1853397248 3243445184 6486890368 12973780736