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5336201256256 = 2613231033326987
BaseRepresentation
bin100110110100110111001…
…1000010101110101000000
3200220010200001002111220001
41031221232120111311000
51144412020010200011
615203230024125344
71060346020200613
oct115515630256500
920803601074801
105336201256256
111778085549462
12722237006854
132c9280c5aa60
141463b877017a
1593c181487c1
hex4da6e615d40

5336201256256 has 112 divisors (see below), whose sum is σ = 11900964426624. Its totient is φ = 2355465885696.

The previous prime is 5336201256203. The next prime is 5336201256257. The reversal of 5336201256256 is 6526521026335.

It is a super-2 number, since 2×53362012562562 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5336201256257) 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, 197718795 + ... + 197745781.

It is an arithmetic number, because the mean of its divisors is an integer number (106258610952).

Almost surely, 25336201256256 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 5336201256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950482213312).

5336201256256 is an abundant number, since it is smaller than the sum of its proper divisors (6564763170368).

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

5336201256256 is a wasteful number, since it uses less digits than its factorization.

5336201256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37368 (or 37358 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 46.

The spelling of 5336201256256 in words is "five trillion, three hundred thirty-six billion, two hundred one million, two hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 736 832 1196 1472 2392 4784 9568 10333 19136 20666 26987 41332 53974 82664 107948 134329 165328 215896 237659 268658 330656 350831 431792 475318 537316 620701 661312 701662 863584 950636 1074632 1241402 1403324 1727168 1901272 2149264 2482804 2806648 3089567 3802544 4298528 4965608 5613296 6179134 7605088 8069113 8597056 9931216 11226592 12358268 15210176 16138226 19862432 22453184 24716536 32276452 39724864 49433072 64552904 98866144 129105808 197732288 258211616 278856671 516423232 557713342 1115426684 2230853368 3625136723 4461706736 6413703433 7250273446 8923413472 12827406866 14500546892 17846826944 25654813732 29001093784 51309627464 58002187568 83378144629 102619254928 116004375136 166756289258 205238509856 232008750272 333512578516 410477019712 667025157032 1334050314064 2668100628128 5336201256256