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2719048020 = 22351312492791
BaseRepresentation
bin1010001000010001…
…0110000101010100
321000111100221200020
42202010112011110
521032034014040
61125450345140
7124244345463
oct24204260524
97014327606
102719048020
111175917027
1263a72b1b0
13344425770
141bb1909da
1510da98cd0
hexa2116154

2719048020 has 96 divisors (see below), whose sum is σ = 8208480000. Its totient is φ = 668528640.

The previous prime is 2719048019. The next prime is 2719048027. The reversal of 2719048020 is 208409172.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2719048027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972825 + ... + 975615.

It is an arithmetic number, because the mean of its divisors is an integer number (85505000).

Almost surely, 22719048020 is an apocalyptic number.

2719048020 is a gapful number since it is divisible by the number (20) 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 2719048020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104240000).

2719048020 is an abundant number, since it is smaller than the sum of its proper divisors (5489431980).

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

2719048020 is a wasteful number, since it uses less digits than its factorization.

2719048020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2719048020 is about 52144.4917512866. The cubic root of 2719048020 is about 1395.7435380526.

The spelling of 2719048020 in words is "two billion, seven hundred nineteen million, forty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1249 2498 2791 3747 4996 5582 6245 7494 8373 11164 12490 13955 14988 16237 16746 18735 24980 27910 32474 33492 36283 37470 41865 48711 55820 64948 72566 74940 81185 83730 97422 108849 145132 162370 167460 181415 194844 217698 243555 324740 362830 435396 487110 544245 725660 974220 1088490 2176980 3485959 6971918 10457877 13943836 17429795 20915754 34859590 41831508 45317467 52289385 69719180 90634934 104578770 135952401 181269868 209157540 226587335 271904802 453174670 543809604 679762005 906349340 1359524010 2719048020