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55981094560 = 255312438467
BaseRepresentation
bin110100001000101110…
…111011011010100000
312100111102022020220121
4310020232323122200
51404122130011220
641414541050024
74021156311136
oct641056733240
9170442266817
1055981094560
1121817960a06
12aa23b56914
135381c49631
1429d0c1b756
1516c99e5eaa
hexd08bbb6a0

55981094560 has 144 divisors (see below), whose sum is σ = 139853897568. Its totient is φ = 21163645440.

The previous prime is 55981094539. The next prime is 55981094573. The reversal of 55981094560 is 6549018955.

It is a junction number, because it is equal to n+sod(n) for n = 55981094498 and 55981094507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6607447 + ... + 6615913.

It is an arithmetic number, because the mean of its divisors is an integer number (971207622).

Almost surely, 255981094560 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 55981094560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69926948784).

55981094560 is an abundant number, since it is smaller than the sum of its proper divisors (83872803008).

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

55981094560 is a wasteful number, since it uses less digits than its factorization.

55981094560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 52.

The spelling of 55981094560 in words is "fifty-five billion, nine hundred eighty-one million, ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 80 86 124 155 160 172 215 248 310 344 430 496 620 688 860 961 992 1240 1333 1376 1720 1922 2480 2666 3440 3844 4805 4960 5332 6665 6880 7688 8467 9610 10664 13330 15376 16934 19220 21328 26660 30752 33868 38440 41323 42335 42656 53320 67736 76880 82646 84670 106640 135472 153760 165292 169340 206615 213280 262477 270944 330584 338680 364081 413230 524954 661168 677360 728162 826460 1049908 1312385 1322336 1354720 1456324 1652920 1820405 2099816 2624770 2912648 3305840 3640810 4199632 5249540 5825296 6611680 7281620 8136787 8399264 10499080 11286511 11650592 14563240 16273574 20998160 22573022 29126480 32547148 40683935 41996320 45146044 56432555 58252960 65094296 81367870 90292088 112865110 130188592 162735740 180584176 225730220 260377184 325471480 349881841 361168352 451460440 650942960 699763682 902920880 1301885920 1399527364 1749409205 1805841760 2799054728 3498818410 5598109456 6997636820 11196218912 13995273640 27990547280 55981094560