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5282539896960 = 27325917107621
BaseRepresentation
bin100110011011110111111…
…1010100000000010000000
3200201000011021210000112100
41030313233322200002000
51143022120203200320
615122433151030400
71053436156155144
oct114675772400200
920630137700470
105282539896960
111757349068a37
1271395bb0b400
132c41ab7a6351
14143967a7b224
1592627121790
hex4cdefea0080

5282539896960 has 96 divisors (see below), whose sum is σ = 18241270601580. Its totient is φ = 1408677304320.

The previous prime is 5282539896947. The next prime is 5282539896961. The reversal of 5282539896960 is 696989352825.

5282539896960 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 539 + 89 + 6 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4934902303296 + 347637593664 = 2221464^2 + 589608^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5282539896961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 458548051 + ... + 458559570.

Almost surely, 25282539896960 is an apocalyptic number.

It is an amenable number.

5282539896960 is an abundant number, since it is smaller than the sum of its proper divisors (12958730704620).

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

5282539896960 is a wasteful number, since it uses less digits than its factorization.

5282539896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917107646 (or 917107631 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 5282539896960 in words is "five trillion, two hundred eighty-two billion, five hundred thirty-nine million, eight hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 917107621 1834215242 2751322863 3668430484 4585538105 5502645726 7336860968 8253968589 9171076210 11005291452 13756614315 14673721936 16507937178 18342152420 22010582904 27513228630 29347443872 33015874356 36684304840 41269842945 44021165808 55026457260 58694887744 66031748712 73368609680 82539685890 88042331616 110052914520 117389775488 132063497424 146737219360 165079371780 176084663232 220105829040 264126994848 293474438720 330158743560 352169326464 440211658080 528253989696 586948877440 660317487120 880423316160 1056507979392 1320634974240 1760846632320 2641269948480 5282539896960