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4919127906 = 23711107151659
BaseRepresentation
bin1001001010011001…
…11110111101100010
3110200211012120220110
410211030332331202
540033244043111
62132041552150
7232620616530
oct44514767542
913624176813
104919127906
1120a47a0670
12b534a5656
13605184594
1434944d150
151dbcce5a6
hex12533ef62

4919127906 has 128 divisors (see below), whose sum is σ = 12481413120. Its totient is φ = 1255464000.

The previous prime is 4919127893. The next prime is 4919127907. The reversal of 4919127906 is 6097219194.

It is not an unprimeable number, because it can be changed into a prime (4919127907) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7464205 + ... + 7464863.

It is an arithmetic number, because the mean of its divisors is an integer number (97511040).

Almost surely, 24919127906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4919127906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240706560).

4919127906 is an abundant number, since it is smaller than the sum of its proper divisors (7562285214).

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

4919127906 is a wasteful number, since it uses less digits than its factorization.

4919127906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940.

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 4919127906 is about 70136.4948225957. The cubic root of 4919127906 is about 1700.7065005787.

The spelling of 4919127906 in words is "four billion, nine hundred nineteen million, one hundred twenty-seven thousand, nine hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 107 151 154 214 231 302 321 453 462 642 659 749 906 1057 1177 1318 1498 1661 1977 2114 2247 2354 3171 3322 3531 3954 4494 4613 4983 6342 7062 7249 8239 9226 9966 11627 13839 14498 16157 16478 21747 23254 24717 27678 32314 34881 43494 48471 49434 50743 69762 70513 96942 99509 101486 113099 141026 152229 177727 199018 211539 226198 298527 304458 339297 355454 423078 493591 533181 597054 678594 696563 775643 987182 1066362 1094599 1244089 1393126 1480773 1551286 2089689 2189198 2326929 2488178 2961546 3283797 3732267 4179378 4653858 5429501 6567594 7464534 7662193 10647463 10859002 15324386 16288503 21294926 22986579 31942389 32577006 45973158 63884778 74532241 117122093 149064482 223596723 234244186 351366279 447193446 702732558 819854651 1639709302 2459563953 4919127906