Search a number
-
+
85069831456 = 2529419218783
BaseRepresentation
bin100111100111010001…
…1101001110100100000
322010120122220012022101
41033032203221310200
52343210334101311
6103025221420144
76101052431221
oct1171643516440
9263518805271
1085069831456
113309477a535
12145a186a654
1380395a359c
144190217248
15232d61aec1
hex13ce8e9d20

85069831456 has 48 divisors (see below), whose sum is σ = 173670739200. Its totient is φ = 40969992448.

The previous prime is 85069831433. The next prime is 85069831463. The reversal of 85069831456 is 65413896058.

It is a junction number, because it is equal to n+sod(n) for n = 85069831397 and 85069831406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279441 + ... + 498223.

It is an arithmetic number, because the mean of its divisors is an integer number (3618140400).

Almost surely, 285069831456 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 85069831456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86835369600).

85069831456 is an abundant number, since it is smaller than the sum of its proper divisors (88600907744).

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

85069831456 is a wasteful number, since it uses less digits than its factorization.

85069831456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219241 (or 219233 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 85069831456 in words is "eighty-five billion, sixty-nine million, eight hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 419 464 838 928 1676 3352 6704 12151 13408 24302 48604 97208 194416 218783 388832 437566 875132 1750264 3500528 6344707 7001056 12689414 25378828 50757656 91670077 101515312 183340154 203030624 366680308 733360616 1466721232 2658432233 2933442464 5316864466 10633728932 21267457864 42534915728 85069831456