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2471361312 = 253719193559
BaseRepresentation
bin1001001101001101…
…1111101100100000
320101020022011101110
42103103133230200
520030132030222
61045121503320
7115146140010
oct22323375440
96336264343
102471361312
111059023372
1258b7a1b40
13305012c94
14196317c40
15e6e7030c
hex934dfb20

2471361312 has 96 divisors (see below), whose sum is σ = 7804339200. Its totient is φ = 668936448.

The previous prime is 2471361307. The next prime is 2471361367. The reversal of 2471361312 is 2131631742.

It is a happy number.

2471361312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×24713613122 = 12215253468900722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2471361312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84012 + ... + 109547.

It is an arithmetic number, because the mean of its divisors is an integer number (81295200).

Almost surely, 22471361312 is an apocalyptic number.

It is an amenable number.

2471361312 is an abundant number, since it is smaller than the sum of its proper divisors (5332977888).

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

2471361312 is a wasteful number, since it uses less digits than its factorization.

2471361312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193598 (or 193590 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2471361312 is about 49712.7882138992. The cubic root of 2471361312 is about 1352.0064014729.

The spelling of 2471361312 in words is "two billion, four hundred seventy-one million, three hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 193559 387118 580677 774236 1161354 1354913 1548472 2322708 2709826 3096944 3677621 4064739 4645416 5419652 6193888 7355242 8129478 9290832 10839304 11032863 14710484 16258956 18581664 21678608 22065726 25743347 29420968 32517912 43357216 44131452 51486694 58841936 65035824 77230041 88262904 102973388 117683872 130071648 154460082 176525808 205946776 308920164 353051616 411893552 617840328 823787104 1235680656 2471361312