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85358406328 = 23131316919067
BaseRepresentation
bin100111101111111000…
…0011110101010111000
322011022202220022121121
41033133300132222320
52344303223000303
6103114010515024
76111155324326
oct1173760365270
9264282808547
1085358406328
1133222660068
1214662435a74
138084300c50
1441ba694d16
152348b1e9bd
hex13dfc1eab8

85358406328 has 64 divisors (see below), whose sum is σ = 173944552320. Its totient is φ = 39034569600.

The previous prime is 85358406323. The next prime is 85358406361. The reversal of 85358406328 is 82360485358.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85358406323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9409651 + ... + 9418717.

It is an arithmetic number, because the mean of its divisors is an integer number (2717883630).

Almost surely, 285358406328 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 85358406328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86972276160).

85358406328 is an abundant number, since it is smaller than the sum of its proper divisors (88586145992).

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

85358406328 is a wasteful number, since it uses less digits than its factorization.

85358406328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9904 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 85358406328 in words is "eighty-five billion, three hundred fifty-eight million, four hundred six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 131 262 524 691 1048 1382 1703 2764 3406 5528 6812 8983 9067 13624 17966 18134 35932 36268 71864 72536 90521 117871 181042 235742 362084 471484 724168 942968 1176773 1187777 2353546 2375554 4707092 4751108 6265297 9414184 9502216 12530594 15441101 25061188 30882202 50122376 61764404 81448861 123528808 162897722 325795444 651590888 820753907 1641507814 3283015628 6566031256 10669800791 21339601582 42679203164 85358406328