Search a number
-
+
2179072716 = 223173231607
BaseRepresentation
bin1000000111100010…
…0000001011001100
312121212022100210220
42001320200023030
513430320311331
61000121031340
7104666545452
oct20170401314
95555270726
102179072716
11a19036647
12509925550
132895b5152
141695909d2
15cb486296
hex81e202cc

2179072716 has 96 divisors (see below), whose sum is σ = 5640606720. Its totient is φ = 653500672.

The previous prime is 2179072681. The next prime is 2179072717. The reversal of 2179072716 is 6172709712.

It is not an unprimeable number, because it can be changed into a prime (2179072717) 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, 1355185 + ... + 1356791.

It is an arithmetic number, because the mean of its divisors is an integer number (58756320).

Almost surely, 22179072716 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 2179072716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820303360).

2179072716 is an abundant number, since it is smaller than the sum of its proper divisors (3461534004).

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

2179072716 is a wasteful number, since it uses less digits than its factorization.

2179072716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The square root of 2179072716 is about 46680.5389429042. The cubic root of 2179072716 is about 1296.4543850434.

The spelling of 2179072716 in words is "two billion, one hundred seventy-nine million, seventy-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 289 391 578 782 867 1156 1173 1564 1607 1734 2346 3214 3468 4692 4821 4913 6428 6647 9642 9826 13294 14739 19284 19652 19941 26588 27319 29478 36961 39882 54638 58956 73922 79764 81957 109276 110883 112999 147844 163914 221766 225998 327828 338997 443532 451996 464423 628337 677994 928846 1256674 1355988 1393269 1857692 1885011 2513348 2786538 3770022 5573076 7540044 7895191 10681729 15790382 21363458 23685573 31580764 32045187 42726916 47371146 64090374 94742292 128180748 181589393 363178786 544768179 726357572 1089536358 2179072716