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85394085400 = 23521332843879
BaseRepresentation
bin100111110000111100…
…0100101011000011000
322011102021001000002201
41033201320211120120
52344341341213100
6103121323335544
76112100515051
oct1174170453030
9264367030081
1085394085400
113324080a2a8
12146723815b4
13808b813b20
1441c1301728
15234bd1b36a
hex13e1e25618

85394085400 has 48 divisors (see below), whose sum is σ = 213813658800. Its totient is φ = 31530122880.

The previous prime is 85394085397. The next prime is 85394085401. The reversal of 85394085400 is 458049358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85394085401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16419340 + ... + 16424539.

It is an arithmetic number, because the mean of its divisors is an integer number (4454451225).

Almost surely, 285394085400 is an apocalyptic number.

It is an amenable number.

85394085400 is an abundant number, since it is smaller than the sum of its proper divisors (128419573400).

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

85394085400 is a wasteful number, since it uses less digits than its factorization.

85394085400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32843908 (or 32843899 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 85394085400 in words is "eighty-five billion, three hundred ninety-four million, eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 32843879 65687758 131375516 164219395 262751032 328438790 426970427 656877580 821096975 853940854 1313755160 1642193950 1707881708 2134852135 3284387900 3415763416 4269704270 6568775800 8539408540 10674260675 17078817080 21348521350 42697042700 85394085400