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85309855400 = 23527115539601
BaseRepresentation
bin100111101110011011…
…1010001011010101000
322011012101112200021002
41033130313101122220
52344203310333100
6103105114134132
76110025543410
oct1173467213250
9264171480232
1085309855400
11331a820a030
121464a121348
1380772322a3
1441b4057640
15234472e2d5
hex13dcdd16a8

85309855400 has 96 divisors (see below), whose sum is σ = 247287833280. Its totient is φ = 26590080000.

The previous prime is 85309855399. The next prime is 85309855441. The reversal of 85309855400 is 455890358.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2754401 + ... + 2785200.

It is an arithmetic number, because the mean of its divisors is an integer number (2575914930).

Almost surely, 285309855400 is an apocalyptic number.

It is an amenable number.

85309855400 is an abundant number, since it is smaller than the sum of its proper divisors (161977977880).

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

85309855400 is a wasteful number, since it uses less digits than its factorization.

85309855400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539635 (or 5539626 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 47.

The spelling of 85309855400 in words is "eighty-five billion, three hundred nine million, eight hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 5539601 11079202 22158404 27698005 38777207 44316808 55396010 60935611 77554414 110792020 121871222 138490025 155108828 193886035 221584040 243742444 276980050 304678055 310217656 387772070 426549277 487484888 553960100 609356110 775544140 853098554 969430175 1107920200 1218712220 1523390275 1551088280 1706197108 1938860350 2132746385 2437424440 3046780550 3412394216 3877720700 4265492770 6093561100 7755441400 8530985540 10663731925 12187122200 17061971080 21327463850 42654927700 85309855400