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5960805552 = 243613192069
BaseRepresentation
bin1011000110100101…
…01010110010110000
3120101102022022000000
411203102222302300
544201431234202
62423252430000
7300500003562
oct54322526260
916342268000
105960805552
1125897a0489
1211a4318300
1373cc24aa0
14407929332
1524d49491c
hex1634aacb0

5960805552 has 280 divisors, whose sum is σ = 19638586800. Its totient is φ = 1736722944.

The previous prime is 5960805481. The next prime is 5960805569. The reversal of 5960805552 is 2555080695.

5960805552 is a `hidden beast` number, since 5 + 96 + 0 + 8 + 0 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5960805498 and 5960805507.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2879974 + ... + 2882042.

It is an arithmetic number, because the mean of its divisors is an integer number (70137810).

Almost surely, 25960805552 is an apocalyptic number.

5960805552 is a gapful number since it is divisible by the number (52) 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 5960805552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9819293400).

5960805552 is an abundant number, since it is smaller than the sum of its proper divisors (13677781248).

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

5960805552 is a wasteful number, since it uses less digits than its factorization.

5960805552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The square root of 5960805552 is about 77206.2533218651. The cubic root of 5960805552 is about 1813.1552214163.

The spelling of 5960805552 in words is "five billion, nine hundred sixty million, eight hundred five thousand, five hundred fifty-two".