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2872068966 = 23213312811409
BaseRepresentation
bin1010101100110000…
…0100101101100110
321102011022012221200
42223030010231212
521340222201331
61152554223330
7131113116624
oct25314045546
97364265850
102872068966
111244231a18
12681a24b46
1336a0416c0
141d3624514
1511c2235e6
hexab304b66

2872068966 has 96 divisors (see below), whose sum is σ = 6947216640. Its totient is φ = 851558400.

The previous prime is 2872068931. The next prime is 2872068971. The reversal of 2872068966 is 6698602782.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2037670 + ... + 2039078.

It is an arithmetic number, because the mean of its divisors is an integer number (72366840).

Almost surely, 22872068966 is an apocalyptic number.

2872068966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872068966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473608320).

2872068966 is an abundant number, since it is smaller than the sum of its proper divisors (4075147674).

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

2872068966 is a wasteful number, since it uses less digits than its factorization.

2872068966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2872068966 is about 53591.6874710995. The cubic root of 2872068966 is about 1421.4501099224.

The spelling of 2872068966 in words is "two billion, eight hundred seventy-two million, sixty-eight thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 281 403 558 562 806 843 1209 1409 1686 2418 2529 2818 3627 3653 4227 5058 7254 7306 8454 8711 10959 12681 17422 18317 21918 25362 26133 32877 36634 43679 52266 54951 65754 78399 87358 109902 113243 131037 156798 164853 226486 262074 329706 339729 393111 395929 567827 679458 786222 791858 1019187 1135654 1187787 1703481 2038374 2375574 3406962 3563361 5110443 5147077 7126722 10220886 10294154 12273799 15441231 24547598 30882462 36821397 46323693 73642794 92647386 110464191 159559387 220928382 319118774 478678161 957356322 1436034483 2872068966