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84834443848 = 23711239576227
BaseRepresentation
bin100111100000010000…
…1101110001001001000
322002222020222021012211
41033000201232021020
52342220104200343
6102550012314504
76062163606040
oct1170041561110
9262866867184
1084834443848
1132a83917320
1214536a72a34
137ccc8a8c8b
14416ac62720
152317b2179d
hex13c086e248

84834443848 has 64 divisors (see below), whose sum is σ = 199144396800. Its totient is φ = 32914029120.

The previous prime is 84834443833. The next prime is 84834443867.

84834443848 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84834443792 and 84834443801.

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, 140890 + ... + 435337.

It is an arithmetic number, because the mean of its divisors is an integer number (3111631200).

Almost surely, 284834443848 is an apocalyptic number.

84834443848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84834443848 is an abundant number, since it is smaller than the sum of its proper divisors (114309952952).

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

84834443848 is a wasteful number, since it uses less digits than its factorization.

84834443848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576490 (or 576486 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 58.

The spelling of 84834443848 in words is "eighty-four billion, eight hundred thirty-four million, four hundred forty-three thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 239 308 478 616 956 1673 1912 2629 3346 5258 6692 10516 13384 18403 21032 36806 73612 147224 576227 1152454 2304908 4033589 4609816 6338497 8067178 12676994 16134356 25353988 32268712 44369479 50707976 88738958 137718253 177477916 275436506 354955832 550873012 964027771 1101746024 1514900783 1928055542 3029801566 3856111084 6059603132 7712222168 10604305481 12119206264 21208610962 42417221924 84834443848