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352428663780 = 223251957937021
BaseRepresentation
bin1010010000011100110…
…00101010001111100100
31020200200100201002202100
411020032120222033210
521233233214220110
6425523053212100
734314340133454
oct5101630521744
91220610632670
10352428663780
1112651187a3a6
1258377791030
1327306ab1c9b
14130b4233d64
15927a38cbc0
hex520e62a3e4

352428663780 has 36 divisors (see below), whose sum is σ = 1069033614012. Its totient is φ = 93980976960.

The previous prime is 352428663761. The next prime is 352428663859. The reversal of 352428663780 is 87366824253.

352428663780 is a `hidden beast` number, since 3 + 52 + 428 + 66 + 37 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149750424576 + 202678239204 = 386976^2 + 450198^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 978968331 + ... + 978968690.

It is an arithmetic number, because the mean of its divisors is an integer number (29695378167).

Almost surely, 2352428663780 is an apocalyptic number.

352428663780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352428663780 is an abundant number, since it is smaller than the sum of its proper divisors (716604950232).

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

352428663780 is a wasteful number, since it uses less digits than its factorization.

352428663780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957937036 (or 1957937031 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 352428663780 in words is "three hundred fifty-two billion, four hundred twenty-eight million, six hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1957937021 3915874042 5873811063 7831748084 9789685105 11747622126 17621433189 19579370210 23495244252 29369055315 35242866378 39158740420 58738110630 70485732756 88107165945 117476221260 176214331890 352428663780