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18960642827360 = 2551355191651693
BaseRepresentation
bin1000100111110100111100…
…11000010110010001100000
32111010121201210120120000222
410103322132120112101200
54441122344030433420
6104154222110502212
73664601255563163
oct423723630262140
974117653516028
1018960642827360
116050188633893
122162848b04968
13a76c9a1a7c80
144979b2b7bada
1522d3232b5225
hex113e9e616460

18960642827360 has 96 divisors (see below), whose sum is σ = 48249020856960. Its totient is φ = 6999579998208.

The previous prime is 18960642827327. The next prime is 18960642827363. The reversal of 18960642827360 is 6372824606981.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18960642827293 and 18960642827302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18960642827363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10653674 + ... + 12305366.

It is an arithmetic number, because the mean of its divisors is an integer number (502593967260).

Almost surely, 218960642827360 is an apocalyptic number.

18960642827360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18960642827360 is an abundant number, since it is smaller than the sum of its proper divisors (29288378029600).

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

18960642827360 is a wasteful number, since it uses less digits than its factorization.

18960642827360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657240 (or 1657232 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 62.

The spelling of 18960642827360 in words is "eighteen trillion, nine hundred sixty billion, six hundred forty-two million, eight hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5519 11038 22076 27595 44152 55190 71747 88304 110380 143494 176608 220760 286988 358735 441520 573976 717470 883040 1147952 1434940 1651693 2295904 2869880 3303386 5739760 6606772 8258465 11479520 13213544 16516930 21472009 26427088 33033860 42944018 52854176 66067720 85888036 107360045 132135440 171776072 214720090 264270880 343552144 429440180 687104288 858880360 1717760720 3435521440 9115693667 18231387334 36462774668 45578468335 72925549336 91156936670 118504017671 145851098672 182313873340 237008035342 291702197344 364627746680 474016070684 592520088355 729255493360 948032141368 1185040176710 1458510986720 1896064282736 2370080353420 3792128565472 4740160706840 9480321413680 18960642827360