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37968891549780 = 22352398941296137
BaseRepresentation
bin10001010001000010100100…
…10010110001100001010100
311222102210100100001011010110
420220201102102301201110
514434040242214043110
6212430400141123020
710666106346060342
oct1050412222614124
9158383310034113
1037968891549780
11111095754841a4
124312760b59470
1318255b311c2c9
149539c02c2992
1545c9d0b60a20
hex2288524b1854

37968891549780 has 96 divisors (see below), whose sum is σ = 106770020958720. Its totient is φ = 10081511838720.

The previous prime is 37968891549779. The next prime is 37968891549881. The reversal of 37968891549780 is 8794519886973.

It is a junction number, because it is equal to n+sod(n) for n = 37968891549693 and 37968891549702.

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, 128065872 + ... + 128362008.

It is an arithmetic number, because the mean of its divisors is an integer number (1112187718320).

Almost surely, 237968891549780 is an apocalyptic number.

37968891549780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37968891549780 is an abundant number, since it is smaller than the sum of its proper divisors (68801129408940).

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

37968891549780 is a wasteful number, since it uses less digits than its factorization.

37968891549780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305329 (or 305327 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 84.

The spelling of 37968891549780 in words is "thirty-seven trillion, nine hundred sixty-eight billion, eight hundred ninety-one million, five hundred forty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 478 717 956 1195 1434 2390 2868 3585 4780 7170 8941 14340 17882 26823 35764 44705 53646 89410 107292 134115 178820 268230 296137 536460 592274 888411 1184548 1480685 1776822 2136899 2961370 3553644 4273798 4442055 5922740 6410697 8547596 8884110 10684495 12821394 17768220 21368990 25642788 32053485 42737980 64106970 70776743 128213940 141553486 212330229 283106972 353883715 424660458 707767430 849320916 1061651145 1415534860 2123302290 2647760917 4246604580 5295521834 7943282751 10591043668 13238804585 15886565502 26477609170 31773131004 39716413755 52955218340 79432827510 158865655020 632814859163 1265629718326 1898444577489 2531259436652 3164074295815 3796889154978 6328148591630 7593778309956 9492222887445 12656297183260 18984445774890 37968891549780