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21259117040 = 245737962709
BaseRepresentation
bin10011110011001001…
…000110000111110000
32000212120210001010012
4103303021012013300
5322014313221130
613433304354052
71351551341030
oct236311060760
960776701105
1021259117040
11901a243317
124153775928
13200a4ca1c5
1410596038c0
15846582995
hex4f32461f0

21259117040 has 40 divisors (see below), whose sum is σ = 56488512480. Its totient is φ = 7288839936.

The previous prime is 21259117021. The next prime is 21259117057. The reversal of 21259117040 is 4071195212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 21259116988 and 21259117006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18980795 + ... + 18981914.

It is an arithmetic number, because the mean of its divisors is an integer number (1412212812).

Almost surely, 221259117040 is an apocalyptic number.

21259117040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21259117040 is an abundant number, since it is smaller than the sum of its proper divisors (35229395440).

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

21259117040 is a wasteful number, since it uses less digits than its factorization.

21259117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37962729 (or 37962723 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 21259117040 in words is "twenty-one billion, two hundred fifty-nine million, one hundred seventeen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 37962709 75925418 151850836 189813545 265738963 303701672 379627090 531477926 607403344 759254180 1062955852 1328694815 1518508360 2125911704 2657389630 3037016720 4251823408 5314779260 10629558520 21259117040