Search a number
-
+
8402112112048 = 241782785343789
BaseRepresentation
bin111101001000100010011…
…1010000110010110110000
31002202020022122021011220021
41322101010322012112300
52100130011200041143
625511513234053224
71525014112401304
oct172210472062660
932666278234807
108402112112048
11274a352276686
12b3847641a214
1348c4149a1335
14210943161d04
15e8858eb9ced
hex7a444e865b0

8402112112048 has 80 divisors (see below), whose sum is σ = 17278154439840. Its totient is φ = 3944434249728.

The previous prime is 8402112112021. The next prime is 8402112112189.

It is a happy number.

8402112112048 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191855338 + ... + 191899126.

It is an arithmetic number, because the mean of its divisors is an integer number (215976930498).

Almost surely, 28402112112048 is an apocalyptic number.

It is an amenable number.

8402112112048 is an abundant number, since it is smaller than the sum of its proper divisors (8876042327792).

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

8402112112048 is a wasteful number, since it uses less digits than its factorization.

8402112112048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45494 (or 45488 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The spelling of 8402112112048 in words is "eight trillion, four hundred two billion, one hundred twelve million, one hundred twelve thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 827 853 1654 1706 3308 3412 6616 6824 13232 13648 14059 14501 28118 29002 43789 56236 58004 87578 112472 116008 175156 224944 232016 350312 700624 705431 744413 1410862 1488826 2821724 2977652 5643448 5955304 11286896 11910608 11992327 23984654 36213503 37352017 47969308 72427006 74704034 95938616 144854012 149408068 191877232 289708024 298816136 579416048 597632272 615629551 634984289 1231259102 1269968578 2462518204 2539937156 4925036408 5079874312 9850072816 10159748624 30890118059 61780236118 123560472236 247120944472 494241888944 525132007003 1050264014006 2100528028012 4201056056024 8402112112048