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8146820748140 = 2251151433981563
BaseRepresentation
bin111011010001101010001…
…0110110101001101101100
31001211211100221112012001222
41312203110112311031230
52031434142102420030
625154333042122512
71500405545533514
oct166432426651554
931754327465058
108146820748140
112661057a1a408
12ab6aa9950438
1347131b5ba8a9
14202445ac6844
15e1db68943e5
hex768d45b536c

8146820748140 has 48 divisors (see below), whose sum is σ = 17127343779840. Its totient is φ = 3255106795200.

The previous prime is 8146820748037. The next prime is 8146820748173. The reversal of 8146820748140 is 418470286418.

It is a happy number.

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, 99842999 + ... + 99924561.

It is an arithmetic number, because the mean of its divisors is an integer number (356819662080).

Almost surely, 28146820748140 is an apocalyptic number.

It is an amenable number.

8146820748140 is an abundant number, since it is smaller than the sum of its proper divisors (8980523031700).

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

8146820748140 is a wasteful number, since it uses less digits than its factorization.

8146820748140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87062 (or 87060 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 53.

The spelling of 8146820748140 in words is "eight trillion, one hundred forty-six billion, eight hundred twenty million, seven hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1151 2302 4339 4604 5755 8678 11510 17356 21695 23020 43390 81563 86780 163126 326252 407815 815630 1631260 4994189 9988378 19976756 24970945 49941890 93879013 99883780 187758026 353901857 375516052 469395065 707803714 938790130 1415607428 1769509285 1877580260 3539018570 7078037140 407341037407 814682074814 1629364149628 2036705187035 4073410374070 8146820748140