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84813427839364 = 22724112157868157
BaseRepresentation
bin10011010010001100101010…
…001111010001000110000100
3102010022002021121112101021121
4103102030222033101012010
542104040400011324424
6500214430104123324
723602365543514300
oct2322145217210604
9363262247471247
1084813427839364
112502a199a2aa04
1296194b1466544
133842b44816ca3
1416d2dc5754d00
159c12d2999ee4
hex4d232a3d1184

84813427839364 has 72 divisors (see below), whose sum is σ = 176881778666712. Its totient is φ = 35459102568960.

The previous prime is 84813427839347. The next prime is 84813427839403. The reversal of 84813427839364 is 46393872431848.

It can be written as a sum of positive squares in 4 ways, for example, as 50471216964 + 84762956622400 = 224658^2 + 9206680^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84813427839293 and 84813427839302.

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 23 ways as a sum of consecutive naturals, for example, 97259574 + ... + 98127730.

It is an arithmetic number, because the mean of its divisors is an integer number (2456691370371).

Almost surely, 284813427839364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84813427839364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88440889333356).

84813427839364 is an abundant number, since it is smaller than the sum of its proper divisors (92068350827348).

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

84813427839364 is a wasteful number, since it uses less digits than its factorization.

84813427839364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880373 (or 880364 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 70.

The spelling of 84813427839364 in words is "eighty-four trillion, eight hundred thirteen billion, four hundred twenty-seven million, eight hundred thirty-nine thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 2009 4018 8036 12157 24314 48628 85099 170198 340396 498437 595693 868157 996874 1191386 1736314 1993748 2382772 3472628 3489059 6077099 6978118 12154198 13956236 24308396 24423413 35594437 42539693 48846826 71188874 85079386 97693652 142377748 170158772 249161059 498322118 996644236 1744127413 3488254826 6976509652 10554184649 21108369298 42216738596 73879292543 147758585086 295517170172 432721570609 517155047801 865443141218 1034310095602 1730886282436 2068620191204 3029050994263 6058101988526 12116203977052 21203356959841 42406713919682 84813427839364