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561020617536 = 26341103691921
BaseRepresentation
bin10000010100111110110…
…11110100001101000000
31222122002111021021001020
420022133123310031000
533142432234230121
61105421310505440
755350420365361
oct10123733641500
91878074237036
10561020617536
111a6a22570625
1290890805280
1340b9a183662
141d22146db68
15e8d7c8b1c6
hex829f6f4340

561020617536 has 112 divisors (see below), whose sum is σ = 1535336170368. Its totient is φ = 180674150400.

The previous prime is 561020617513. The next prime is 561020617543. The reversal of 561020617536 is 635716020165.

It is a super-2 number, since 2×5610206175362 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464856 + ... + 1156776.

It is an arithmetic number, because the mean of its divisors is an integer number (13708358664).

Almost surely, 2561020617536 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 561020617536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767668085184).

561020617536 is an abundant number, since it is smaller than the sum of its proper divisors (974315552832).

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

561020617536 is a wasteful number, since it uses less digits than its factorization.

561020617536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692080 (or 692070 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 561020617536 in words is "five hundred sixty-one billion, twenty million, six hundred seventeen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 103 123 164 192 206 246 309 328 412 492 618 656 824 984 1236 1312 1648 1968 2472 2624 3296 3936 4223 4944 6592 7872 8446 9888 12669 16892 19776 25338 33784 50676 67568 101352 135136 202704 270272 405408 691921 810816 1383842 2075763 2767684 4151526 5535368 8303052 11070736 16606104 22141472 28368761 33212208 44282944 56737522 66424416 71267863 85106283 113475044 132848832 142535726 170212566 213803589 226950088 285071452 340425132 427607178 453900176 570142904 680850264 855214356 907800352 1140285808 1361700528 1710428712 1815600704 2280571616 2723401056 2921982383 3420857424 4561143232 5446802112 5843964766 6841714848 8765947149 11687929532 13683429696 17531894298 23375859064 35063788596 46751718128 70127577192 93503436256 140255154384 187006872512 280510308768 561020617536