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2073628872 = 2332731712979
BaseRepresentation
bin111101110011001…
…0001000011001000
312100111220021001100
41323212101003020
513221322110442
6541433021400
7102246361140
oct17346210310
95314807040
102073628872
11974567077
1249a554860
132707b6843
14159583920
15c20a884c
hex7b9910c8

2073628872 has 96 divisors (see below), whose sum is σ = 6439118400. Its totient is φ = 590550912.

The previous prime is 2073628831. The next prime is 2073628903. The reversal of 2073628872 is 2788263702.

2073628872 is a `hidden beast` number, since 207 + 362 + 8 + 87 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153279 + ... + 166257.

It is an arithmetic number, because the mean of its divisors is an integer number (67074150).

Almost surely, 22073628872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073628872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219559200).

2073628872 is an abundant number, since it is smaller than the sum of its proper divisors (4365489528).

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

2073628872 is a wasteful number, since it uses less digits than its factorization.

2073628872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13315 (or 13308 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2073628872 is about 45537.1153236566. The cubic root of 2073628872 is about 1275.1962014095.

The spelling of 2073628872 in words is "two billion, seventy-three million, six hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 317 504 634 951 1268 1902 2219 2536 2853 3804 4438 5706 6657 7608 8876 11412 12979 13314 17752 19971 22824 25958 26628 38937 39942 51916 53256 77874 79884 90853 103832 116811 155748 159768 181706 233622 272559 311496 363412 467244 545118 726824 817677 934488 1090236 1635354 2180472 3270708 4114343 6541416 8228686 12343029 16457372 24686058 28800401 32914744 37029087 49372116 57600802 74058174 86401203 98744232 115201604 148116348 172802406 230403208 259203609 296232696 345604812 518407218 691209624 1036814436 2073628872