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352255889952 = 25324128532
BaseRepresentation
bin1010010000001000001…
…01100101001000100000
31020200020022121021121200
411020010011211020200
521232410001434302
6425454002121200
734310141442621
oct5100405451040
91220208537550
10352255889952
111264332a290a
1258329950200
13272aa06b255
14130992dba48
15926a11081c
hex5204165220

352255889952 has 162 divisors, whose sum is σ = 1027961092431. Its totient is φ = 114420464640.

The previous prime is 352255889941. The next prime is 352255889959. The reversal of 352255889952 is 259988552253.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

352255889952 is a `hidden beast` number, since 3 + 5 + 22 + 558 + 8 + 9 + 9 + 52 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 35147250576 + 317108639376 = 187476^2 + 563124^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=419676.

It is a self number, because there is not a number n which added to its sum of digits gives 352255889952.

It is not an unprimeable number, because it can be changed into a prime (352255889959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 412960758 + ... + 412961610.

Almost surely, 2352255889952 is an apocalyptic number.

352255889952 is a gapful number since it is divisible by the number (32) 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 352255889952

352255889952 is an abundant number, since it is smaller than the sum of its proper divisors (675705202479).

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

352255889952 is an frugal number, since it uses more digits than its factorization.

352255889952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 899 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 63.

The spelling of 352255889952 in words is "three hundred fifty-two billion, two hundred fifty-five million, eight hundred eighty-nine thousand, nine hundred fifty-two".