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85578613825000 = 23553423144553
BaseRepresentation
bin10011011101010101010010…
…111000001001110111101000
3102020000020100201221221122211
4103131111102320021313220
542204110000114400000
6502002134503254504
724011564554211212
oct2335252270116750
9366006321857584
1085578613825000
11252a47605243aa
12972186074a434
13389a04ac5b15a
14171c0541855b2
159d61696e87ba
hex4dd552e09de8

85578613825000 has 48 divisors (see below), whose sum is σ = 200562039418860. Its totient is φ = 34231445520000.

The previous prime is 85578613824989. The next prime is 85578613825007. The reversal of 85578613825000 is 52831687558.

It can be written as a sum of positive squares in 6 ways, for example, as 16611933699076 + 68966680125924 = 4075774^2 + 8304618^2 .

It is a super-2 number, since 2×855786138250002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85578613825007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1711547277 + ... + 1711597276.

Almost surely, 285578613825000 is an apocalyptic number.

It is an amenable number.

85578613825000 is an abundant number, since it is smaller than the sum of its proper divisors (114983425593860).

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

85578613825000 is an equidigital number, since it uses as much as digits as its factorization.

85578613825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423144584 (or 3423144560 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 58.

The spelling of 85578613825000 in words is "eighty-five trillion, five hundred seventy-eight billion, six hundred thirteen million, eight hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 25000 3423144553 6846289106 13692578212 17115722765 27385156424 34231445530 68462891060 85578613825 136925782120 171157227650 342314455300 427893069125 684628910600 855786138250 1711572276500 2139465345625 3423144553000 4278930691250 8557861382500 10697326728125 17115722765000 21394653456250 42789306912500 85578613825000