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2166525144240 = 243543209934607
BaseRepresentation
bin11111100001101110111…
…101100010110010110000
321200010011212021200002220
4133201232331202302300
5240444020414103430
64335142104441040
7312345340606302
oct37415675426260
97603155250086
102166525144240
117658aaa65436
122aba78a79180
131293c1616892
1476c08c31972
153b552736110
hex1f86ef62cb0

2166525144240 has 80 divisors (see below), whose sum is σ = 6872419327488. Its totient is φ = 564304220928.

The previous prime is 2166525144229. The next prime is 2166525144253. The reversal of 2166525144240 is 424415256612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2166525144192 and 2166525144201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104956984 + ... + 104977623.

Almost surely, 22166525144240 is an apocalyptic number.

2166525144240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166525144240 is an abundant number, since it is smaller than the sum of its proper divisors (4705894183248).

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

2166525144240 is a wasteful number, since it uses less digits than its factorization.

2166525144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209934666 (or 209934660 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 2166525144240 in words is "two trillion, one hundred sixty-six billion, five hundred twenty-five million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 209934607 419869214 629803821 839738428 1049673035 1259607642 1679476856 2099346070 2519215284 3149019105 3358953712 4198692140 5038430568 6298038210 8397384280 9027188101 10076861136 12596076420 16794768560 18054376202 25192152840 27081564303 36108752404 45135940505 50384305680 54163128606 72217504808 90271881010 108326257212 135407821515 144435009616 180543762020 216652514424 270815643030 361087524040 433305028848 541631286060 722175048080 1083262572120 2166525144240