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8142208155378 = 235111637930389
BaseRepresentation
bin111011001111100000101…
…1011001011111011110010
31001211101110111010012100000
41312133001123023323302
52031400220241433003
625152251230210430
71500153336252303
oct166370133137362
931741414105300
108142208155378
11265a100267180
12ab6021053a16
13470a64ab186b
1420212926c7aa
15e1be69651a3
hex767c16cbef2

8142208155378 has 96 divisors (see below), whose sum is σ = 19970218457280. Its totient is φ = 2465825924160.

The previous prime is 8142208155223. The next prime is 8142208155379. The reversal of 8142208155378 is 8735518022418.

It is a happy number.

8142208155378 is a `hidden beast` number, since 8 + 1 + 4 + 2 + 2 + 0 + 81 + 553 + 7 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8142208155379) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8286208 + ... + 9216596.

It is an arithmetic number, because the mean of its divisors is an integer number (208023108930).

Almost surely, 28142208155378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142208155378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985109228640).

8142208155378 is an abundant number, since it is smaller than the sum of its proper divisors (11828010301902).

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

8142208155378 is a wasteful number, since it uses less digits than its factorization.

8142208155378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932054 (or 932042 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 8142208155378 in words is "eight trillion, one hundred forty-two billion, two hundred eight million, one hundred fifty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1637 1782 2673 3274 4911 5346 9822 14733 18007 29466 36014 44199 54021 88398 108042 132597 162063 265194 324126 397791 486189 795582 930389 972378 1458567 1860778 2791167 2917134 4375701 5582334 8373501 8751402 10234279 16747002 20468558 25120503 30702837 50241006 61405674 75361509 92108511 150723018 184217022 226084527 276325533 452169054 552651066 828976599 1523046793 1657953198 2486929797 3046093586 4569140379 4973859594 9138280758 13707421137 16753514723 27414842274 33507029446 41122263411 50260544169 82244526822 100521088338 123366790233 150781632507 246733580466 301563265014 370100370699 452344897521 740200741398 904689795042 1357034692563 2714069385126 4071104077689 8142208155378