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1052653456344 = 23379196818057
BaseRepresentation
bin11110101000101110000…
…10010000101111011000
310201122002020012010220210
433110113002100233120
5114221313241100334
62123325440451120
7136023506514060
oct17242702205730
93648066163823
101052653456344
11376478484a76
12150017619aa0
13783599a6b79
1438d3d3323a0
151c5ae04a5e9
hexf517090bd8

1052653456344 has 64 divisors (see below), whose sum is σ = 3010854412800. Its totient is φ = 300430819584.

The previous prime is 1052653456321. The next prime is 1052653456403. The reversal of 1052653456344 is 4436543562501.

It is a super-2 number, since 2×10526534563442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052653456293 and 1052653456302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3254637 + ... + 3563420.

It is an arithmetic number, because the mean of its divisors is an integer number (47044600200).

Almost surely, 21052653456344 is an apocalyptic number.

1052653456344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1052653456344 is an abundant number, since it is smaller than the sum of its proper divisors (1958200956456).

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

1052653456344 is a wasteful number, since it uses less digits than its factorization.

1052653456344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818992 (or 6818988 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 1052653456344 in words is "one trillion, fifty-two billion, six hundred fifty-three million, four hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 919 1838 2757 3676 5514 6433 7352 11028 12866 19299 22056 25732 38598 51464 77196 154392 6818057 13636114 20454171 27272228 40908342 47726399 54544456 81816684 95452798 143179197 163633368 190905596 286358394 381811192 572716788 1145433576 6265794383 12531588766 18797383149 25063177532 37594766298 43860560681 50126355064 75189532596 87721121362 131581682043 150379065192 175442242724 263163364086 350884485448 526326728172 1052653456344