Search a number
-
+
78085766346 = 2377129389371
BaseRepresentation
bin100100010111001000…
…1100011110011001010
321110112221010221002020
41020232101203303022
52234404424010341
655512212545310
75433016030320
oct1105621436312
9243487127066
1078085766346
1130130419aa5
1213172922236
137495689693
143aca847d10
1520703ed566
hex122e463cca

78085766346 has 64 divisors (see below), whose sum is σ = 181615343616. Its totient is φ = 21920673600.

The previous prime is 78085766327. The next prime is 78085766371. The reversal of 78085766346 is 64366758087.

It is a self number, because there is not a number n which added to its sum of digits gives 78085766346.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829041 + ... + 918411.

It is an arithmetic number, because the mean of its divisors is an integer number (2837739744).

Almost surely, 278085766346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78085766346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90807671808).

78085766346 is an abundant number, since it is smaller than the sum of its proper divisors (103529577270).

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

78085766346 is a wasteful number, since it uses less digits than its factorization.

78085766346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89747.

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 78085766346 in words is "seventy-eight billion, eighty-five million, seven hundred sixty-six thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 293 426 497 586 879 994 1491 1758 2051 2982 4102 6153 12306 20803 41606 62409 89371 124818 145621 178742 268113 291242 436863 536226 625597 873726 1251194 1876791 3753582 6345341 12690682 19036023 26185703 38072046 44417387 52371406 78557109 88834774 133252161 157114218 183299921 266504322 366599842 549899763 1099799526 1859184913 3718369826 5577554739 11155109478 13014294391 26028588782 39042883173 78085766346