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5363781888256 = 28112131592
BaseRepresentation
bin100111000001101101001…
…0100000110100100000000
3200222202212011220210021221
41032003122110012210000
51200340011130411011
615224030512524424
71062343341535501
oct116033224064400
920882764823257
105363781888256
111788849051500
12727653850714
132cba5801564c
14147873756ba8
15947ce672971
hex4e0da506900

5363781888256 has 81 divisors (see below), whose sum is σ = 11769318607683. Its totient is φ = 2437897397760.

The previous prime is 5363781888229. The next prime is 5363781888259. The reversal of 5363781888256 is 6528881873635.

The square root of 5363781888256 is 2315984.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×53637818882563 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5363781888259) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 407606605 + ... + 407619763.

Almost surely, 25363781888256 is an apocalyptic number.

5363781888256 is the 2315984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5363781888256

5363781888256 is an abundant number, since it is smaller than the sum of its proper divisors (6405536719427).

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

5363781888256 is an frugal number, since it uses more digits than its factorization.

5363781888256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26356 (or 13172 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 70.

The spelling of 5363781888256 in words is "five trillion, three hundred sixty-three billion, seven hundred eighty-one million, eight hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 13159 15488 26318 30976 52636 105272 144749 210544 289498 421088 578996 842176 1157992 1592239 1684352 2315984 3184478 3368704 4631968 6368956 9263936 12737912 18527872 25475824 37055744 50951648 101903296 173159281 203806592 346318562 407613184 692637124 1385274248 1904752091 2770548496 3809504182 5541096992 7619008364 11082193984 15238016728 20952273001 22164387968 30476033456 41904546002 44328775936 60952066912 83809092004 121904133824 167618184008 243808267648 335236368016 487616535296 670472736032 1340945472064 2681890944128 5363781888256