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2909472412 = 22721117163487
BaseRepresentation
bin1010110101101011…
…0000011010011100
321111202200111211111
42231122300122130
521424311104122
61200412031404
7132046051600
oct25532603234
97452614744
102909472412
111263359760
12692462564
13374a09412
141d859d500
15120660d77
hexad6b069c

2909472412 has 144 divisors (see below), whose sum is σ = 6897477888. Its totient is φ = 1058158080.

The previous prime is 2909472341. The next prime is 2909472421. The reversal of 2909472412 is 2142749092.

2909472412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5974033 + ... + 5974519.

It is an arithmetic number, because the mean of its divisors is an integer number (47899152).

Almost surely, 22909472412 is an apocalyptic number.

2909472412 is a gapful number since it is divisible by the number (22) 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 2909472412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448738944).

2909472412 is an abundant number, since it is smaller than the sum of its proper divisors (3988005476).

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

2909472412 is a wasteful number, since it uses less digits than its factorization.

2909472412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 2909472412 is about 53939.5255077388. The cubic root of 2909472412 is about 1427.5941112223.

The spelling of 2909472412 in words is "two billion, nine hundred nine million, four hundred seventy-two thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 163 187 196 238 308 326 374 476 487 539 652 748 833 974 1078 1141 1309 1666 1793 1948 2156 2282 2618 2771 3332 3409 3586 4564 5236 5357 5542 6818 7172 7987 8279 9163 10714 11084 12551 13636 15974 16558 18326 19397 21428 23863 25102 30481 31948 33116 36652 37499 38794 47726 50204 57953 60962 74998 77588 79381 87857 91069 95452 115906 121924 135779 149996 158762 175714 182138 213367 231812 262493 271558 317524 351428 364276 405671 426734 524986 543116 555667 637483 811342 853468 873191 1049972 1111334 1274966 1349477 1493569 1622684 1746382 2222668 2549932 2698954 2987138 3492764 3889669 4462381 5397908 5974276 6112337 7779338 8924762 9446339 12224674 14844247 15558676 17849524 18892678 24449348 29688494 37785356 42786359 59376988 66124373 85572718 103909729 132248746 171145436 207819458 264497492 415638916 727368103 1454736206 2909472412