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682055690040 = 233251894599139
BaseRepresentation
bin10011110110011011010…
…11111110011100111000
32102012111122010000002100
421323031223332130320
542133322224040130
61241155420303400
7100163655465024
oct11731553763470
92365448100070
10682055690040
11243292723a6a
12b022b0a1b60
134c41893795a
1425024053384
1512b1da4ec60
hex9ecdafe738

682055690040 has 48 divisors (see below), whose sum is σ = 2216680993800. Its totient is φ = 181881517248.

The previous prime is 682055690033. The next prime is 682055690077. The reversal of 682055690040 is 40096550286.

682055690040 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 556 + 90 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 947299210 + ... + 947299929.

Almost surely, 2682055690040 is an apocalyptic number.

682055690040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682055690040 is an abundant number, since it is smaller than the sum of its proper divisors (1534625303760).

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

682055690040 is a wasteful number, since it uses less digits than its factorization.

682055690040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894599156 (or 1894599149 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 682055690040 in words is "six hundred eighty-two billion, fifty-five million, six hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1894599139 3789198278 5683797417 7578396556 9472995695 11367594834 15156793112 17051392251 18945991390 22735189668 28418987085 34102784502 37891982780 45470379336 56837974170 68205569004 75783965560 85256961255 113675948340 136411138008 170513922510 227351896680 341027845020 682055690040