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220095042570 = 232513317411597
BaseRepresentation
bin1100110011111010101…
…1111101010000001010
3210001002210122121122100
43030332223331100022
512101223312330240
6245035452334230
721621105664644
oct3147653752012
9701083577570
10220095042570
1185383a060a7
12367a5474376
13179a75c3000
14a91cc67894
155ad2715e30
hex333eafd40a

220095042570 has 384 divisors, whose sum is σ = 672808368960. Its totient is φ = 49715527680.

The previous prime is 220095042539. The next prime is 220095042593. The reversal of 220095042570 is 75240590022.

It is a happy number.

220095042570 is a `hidden beast` number, since 220 + 0 + 9 + 5 + 0 + 425 + 7 + 0 = 666.

220095042570 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 209012638041 + 11082404529 = 457179^2 + 105273^2 .

It is a super-2 number, since 2×2200950425702 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137817012 + ... + 137818608.

Almost surely, 2220095042570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220095042570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336404184480).

220095042570 is an abundant number, since it is smaller than the sum of its proper divisors (452713326390).

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

220095042570 is a wasteful number, since it uses less digits than its factorization.

220095042570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 220095042570 in words is "two hundred twenty billion, ninety-five million, forty-two thousand, five hundred seventy".