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193882069520 = 2452423525869
BaseRepresentation
bin1011010010010001000…
…1011001101000010000
3200112102222022121121122
42310210101121220100
511134032302211040
6225022421341412
720002402253666
oct2644421315020
9615388277548
10193882069520
1175252412507
12316aa867868
131538a9a2479
149553774c36
15509b2e41b5
hex2d24459a10

193882069520 has 20 divisors (see below), whose sum is σ = 450775811820. Its totient is φ = 77552827776.

The previous prime is 193882069519. The next prime is 193882069529. The reversal of 193882069520 is 25960288391.

It can be written as a sum of positive squares in 2 ways, for example, as 23385749776 + 170496319744 = 152924^2 + 412912^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1938820695202 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (193882069529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1211762855 + ... + 1211763014.

It is an arithmetic number, because the mean of its divisors is an integer number (22538790591).

Almost surely, 2193882069520 is an apocalyptic number.

193882069520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193882069520 is an abundant number, since it is smaller than the sum of its proper divisors (256893742300).

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

193882069520 is a wasteful number, since it uses less digits than its factorization.

193882069520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423525882 (or 2423525876 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 53.

The spelling of 193882069520 in words is "one hundred ninety-three billion, eight hundred eighty-two million, sixty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2423525869 4847051738 9694103476 12117629345 19388206952 24235258690 38776413904 48470517380 96941034760 193882069520