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4927106844 = 223211294091049
BaseRepresentation
bin1001001011010110…
…11010111100011100
3110201101012221221200
410211223122330130
540042314404334
62132524555500
7233045500662
oct44553327434
913641187850
104927106844
1120a9250330
12b560b2b90
13606a1924a
1434a528c32
151dc858799
hex125adaf1c

4927106844 has 144 divisors (see below), whose sum is σ = 14103180000. Its totient is φ = 1436682240.

The previous prime is 4927106837. The next prime is 4927106857. The reversal of 4927106844 is 4486017294.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4927106844.

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, 4696432 + ... + 4697480.

It is an arithmetic number, because the mean of its divisors is an integer number (97938750).

Almost surely, 24927106844 is an apocalyptic number.

4927106844 is a gapful number since it is divisible by the number (44) 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 4927106844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051590000).

4927106844 is an abundant number, since it is smaller than the sum of its proper divisors (9176073156).

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

4927106844 is a wasteful number, since it uses less digits than its factorization.

4927106844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4927106844 is about 70193.3532750787. The cubic root of 4927106844 is about 1701.6255321448.

The spelling of 4927106844 in words is "four billion, nine hundred twenty-seven million, one hundred six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 409 522 638 818 957 1044 1049 1227 1276 1636 1914 2098 2454 2871 3147 3681 3828 4196 4499 4908 5742 6294 7362 8998 9441 11484 11539 11861 12588 13497 14724 17996 18882 23078 23722 26994 30421 34617 35583 37764 40491 46156 47444 53988 60842 69234 71166 80982 91263 103851 106749 121684 130471 138468 142332 161964 182526 207702 213498 260942 273789 334631 365052 391413 415404 426996 429041 521884 547578 669262 782826 858082 1003893 1095156 1174239 1287123 1338524 1565652 1716164 2007786 2348478 2574246 3011679 3861369 4015572 4696956 4719451 5148492 6023358 7722738 9438902 12046716 12442189 14158353 15445476 18877804 24884378 28316706 37326567 42475059 49768756 56633412 74653134 84950118 111979701 136864079 149306268 169900236 223959402 273728158 410592237 447918804 547456316 821184474 1231776711 1642368948 2463553422 4927106844