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56017161133680 = 24355338557114217
BaseRepresentation
bin11001011110010100000101…
…11111011001111001110000
321100100012002021101201210210
430233022002333121321300
524320241121222234210
6315045532323024120
714541051321234105
oct1457120277317160
9240305067351723
1056017161133680
111693782110624a
126348601b0b040
13253451b272936
14db936065caac
156722054ece20
hex32f282fd9e70

56017161133680 has 160 divisors (see below), whose sum is σ = 176935812865344. Its totient is φ = 14655553855488.

The previous prime is 56017161133667. The next prime is 56017161133777. The reversal of 56017161133680 is 8633116171065.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490387932 + ... + 490502148.

Almost surely, 256017161133680 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 56017161133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88467906432672).

56017161133680 is an abundant number, since it is smaller than the sum of its proper divisors (120918651731664).

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

56017161133680 is a wasteful number, since it uses less digits than its factorization.

56017161133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152843 (or 152837 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 56017161133680 in words is "fifty-six trillion, seventeen billion, one hundred sixty-one million, one hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 38557 77114 114217 115671 154228 192785 228434 231342 308456 342651 385570 456868 462684 571085 578355 616912 685302 771140 913736 925368 1142170 1156710 1370604 1542280 1713255 1827472 1850736 2043521 2284340 2313420 2741208 3084560 3426510 4087042 4568680 4626840 5482416 6053501 6130563 6853020 8174084 9137360 9253680 10217605 12107002 12261126 13706040 16348168 18160503 20435210 24214004 24522252 27412080 30267505 30652815 32696336 36321006 40870420 48428008 49044504 60535010 61305630 72642012 81740840 90802515 96856016 98089008 121070020 122611260 145284024 163481680 181605030 242140040 245222520 290568048 363210060 484280080 490445040 726420120 1452840240 4403864869 8807729738 13211594607 17615459476 22019324345 26423189214 35230918952 44038648690 52846378428 66057973035 70461837904 88077297380 105692756856 132115946070 176154594760 211385513712 233404838057 264231892140 352309189520 466809676114 528463784280 700214514171 933619352228 1056927568560 1167024190285 1400429028342 1867238704456 2334048380570 2800858056684 3501072570855 3734477408912 4668096761140 5601716113368 7002145141710 9336193522280 11203432226736 14004290283420 18672387044560 28008580566840 56017161133680