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8426428246248 = 2333149922697083
BaseRepresentation
bin111101010011110111001…
…0000110010100011101000
31002211120002021100210012020
41322213232100302203220
52101024311112334443
625531014145144440
71526534514206655
oct172475620624350
932746067323166
108426428246248
1127596a0083161
12b4112192b120
134917bb62711c
14211bac770c2c
15e92cdb05583
hex7a9ee4328e8

8426428246248 has 64 divisors (see below), whose sum is σ = 21789200640000. Its totient is φ = 2712755240640.

The previous prime is 8426428246211. The next prime is 8426428246267.

8426428246248 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84264282462482 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8426428246191 and 8426428246200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10977286 + ... + 11719797.

It is an arithmetic number, because the mean of its divisors is an integer number (340456260000).

Almost surely, 28426428246248 is an apocalyptic number.

It is an amenable number.

8426428246248 is an abundant number, since it is smaller than the sum of its proper divisors (13362772393752).

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

8426428246248 is a wasteful number, since it uses less digits than its factorization.

8426428246248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22697622 (or 22697618 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 60.

The spelling of 8426428246248 in words is "eight trillion, four hundred twenty-six billion, four hundred twenty-eight million, two hundred forty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 499 744 998 1497 1996 2994 3992 5988 11976 15469 30938 46407 61876 92814 123752 185628 371256 22697083 45394166 68091249 90788332 136182498 181576664 272364996 544729992 703609573 1407219146 2110828719 2814438292 4221657438 5628876584 8443314876 11325844417 16886629752 22651688834 33977533251 45303377668 67955066502 90606755336 135910133004 271820266008 351101176927 702202353854 1053303530781 1404404707708 2106607061562 2808809415416 4213214123124 8426428246248