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9085812900 = 2235248762189
BaseRepresentation
bin10000111011000111…
…01000000010100100
3212110012120010011220
420131203220002210
5122101432003100
64101324300340
7441104064303
oct103543500244
925405503156
109085812900
11394278278a
1219169a16b0
13b1a497468
1462299243a
153829ccaa0
hex21d8e80a4

9085812900 has 72 divisors (see below), whose sum is σ = 26342688960. Its totient is φ = 2417869440.

The previous prime is 9085812899. The next prime is 9085812917. The reversal of 9085812900 is 92185809.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115006 + ... + 177194.

It is an arithmetic number, because the mean of its divisors is an integer number (365870680).

Almost surely, 29085812900 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 9085812900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171344480).

9085812900 is an abundant number, since it is smaller than the sum of its proper divisors (17256876060).

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

9085812900 is a wasteful number, since it uses less digits than its factorization.

9085812900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62693 (or 62686 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 9085812900 is about 95319.5305275892. The cubic root of 9085812900 is about 2086.6739600480.

The spelling of 9085812900 in words is "nine billion, eighty-five million, eight hundred twelve thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 487 974 1461 1948 2435 2922 4870 5844 7305 9740 12175 14610 24350 29220 36525 48700 62189 73050 124378 146100 186567 248756 310945 373134 621890 746268 932835 1243780 1554725 1865670 3109450 3731340 4664175 6218900 9328350 18656700 30286043 60572086 90858129 121144172 151430215 181716258 302860430 363432516 454290645 605720860 757151075 908581290 1514302150 1817162580 2271453225 3028604300 4542906450 9085812900