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2355838056 = 2332113133161
BaseRepresentation
bin1000110001101011…
…0011110001101000
320002011220222021100
42030122303301220
514311043304211
61025433441400
7112244202345
oct21432636150
96064828240
102355838056
11aa989a000
12558b70260
132b70c5920
14184c457cc
15dbc51156
hex8c6b3c68

2355838056 has 384 divisors, whose sum is σ = 7929492480. Its totient is φ = 627264000.

The previous prime is 2355838027. The next prime is 2355838061. The reversal of 2355838056 is 6508385532.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38620266 + ... + 38620326.

It is an arithmetic number, because the mean of its divisors is an integer number (20649720).

Almost surely, 22355838056 is an apocalyptic number.

2355838056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2355838056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964746240).

2355838056 is an abundant number, since it is smaller than the sum of its proper divisors (5573654424).

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

2355838056 is a wasteful number, since it uses less digits than its factorization.

2355838056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 2355838056 is about 48536.9761728108. The cubic root of 2355838056 is about 1330.6029369070.

The spelling of 2355838056 in words is "two billion, three hundred fifty-five million, eight hundred thirty-eight thousand, fifty-six".