Search a number
-
+
85346815344 = 24371637155167
BaseRepresentation
bin100111101111100010…
…0010000110101110000
322011021222002102202220
41033133010100311300
52344242241042334
6103112514241040
76110654650350
oct1173704206560
9264258072686
1085346815344
113321706363a
121465a586180
138081aa318b
1441b8d18b60
152347ad0449
hex13df110d70

85346815344 has 80 divisors (see below), whose sum is σ = 252131862528. Its totient is φ = 24369751296.

The previous prime is 85346815339. The next prime is 85346815391. The reversal of 85346815344 is 44351864358.

It is a congruent number.

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, 472449 + ... + 627615.

Almost surely, 285346815344 is an apocalyptic number.

85346815344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85346815344 is an abundant number, since it is smaller than the sum of its proper divisors (166785047184).

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

85346815344 is a wasteful number, since it uses less digits than its factorization.

85346815344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156822 (or 156816 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 51.

The spelling of 85346815344 in words is "eighty-five billion, three hundred forty-six million, eight hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1637 3274 4911 6548 9822 11459 13096 19644 22918 26192 34377 39288 45836 68754 78576 91672 137508 155167 183344 275016 310334 465501 550032 620668 931002 1086169 1241336 1862004 2172338 2482672 3258507 3724008 4344676 6517014 7448016 8689352 13034028 17378704 26068056 52136112 254008379 508016758 762025137 1016033516 1524050274 1778058653 2032067032 3048100548 3556117306 4064134064 5334175959 6096201096 7112234612 10668351918 12192402192 14224469224 21336703836 28448938448 42673407672 85346815344