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21137574312 = 2332293577421
BaseRepresentation
bin10011101011111001…
…011100100110101000
32000120010002000211200
4103223321130212220
5321242204334222
613413243324200
71345544263041
oct235371344650
960503060750
1021137574312
118a67678488
12411ab20660
131cbb28302a
1410474058c8
1583aa74eac
hex4ebe5c9a8

21137574312 has 24 divisors (see below), whose sum is σ = 57247597290. Its totient is φ = 7045858080.

The previous prime is 21137574229. The next prime is 21137574343. The reversal of 21137574312 is 21347573112.

21137574312 is a `hidden beast` number, since 21 + 1 + 37 + 574 + 31 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20789602596 + 347971716 = 144186^2 + 18654^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146788639 + ... + 146788782.

Almost surely, 221137574312 is an apocalyptic number.

It is an amenable number.

21137574312 is an abundant number, since it is smaller than the sum of its proper divisors (36110022978).

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

21137574312 is a wasteful number, since it uses less digits than its factorization.

21137574312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293577433 (or 293577426 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The spelling of 21137574312 in words is "twenty-one billion, one hundred thirty-seven million, five hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293577421 587154842 880732263 1174309684 1761464526 2348619368 2642196789 3522929052 5284393578 7045858104 10568787156 21137574312