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4149388936 = 23711311971103
BaseRepresentation
bin1111011101010010…
…1010011010001000
3101201011210210112201
43313110222122020
531444220421221
61523423445544
7204553136560
oct36724523210
911634723481
104149388936
11183a249360
129797568b4
13511868434
142b511dda0
15194433891
hexf752a688

4149388936 has 128 divisors (see below), whose sum is σ = 10072719360. Its totient is φ = 1555142400.

The previous prime is 4149388913. The next prime is 4149388949. The reversal of 4149388936 is 6398839414.

4149388936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3761361 + ... + 3762463.

It is an arithmetic number, because the mean of its divisors is an integer number (78693120).

Almost surely, 24149388936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149388936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036359680).

4149388936 is an abundant number, since it is smaller than the sum of its proper divisors (5923330424).

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

4149388936 is a wasteful number, since it uses less digits than its factorization.

4149388936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1351 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The square root of 4149388936 is about 64415.7506825776. The cubic root of 4149388936 is about 1606.9216975103.

The spelling of 4149388936 in words is "four billion, one hundred forty-nine million, three hundred eighty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 197 217 248 308 341 394 434 616 682 788 868 1103 1364 1379 1576 1736 2167 2206 2387 2728 2758 4334 4412 4774 5516 6107 7721 8668 8824 9548 11032 12133 12214 15169 15442 17336 19096 24266 24428 30338 30884 34193 42749 48532 48856 60676 61768 67177 68386 84931 85498 97064 121352 134354 136772 169862 170996 217291 239351 268708 273544 339724 341992 376123 434582 470239 478702 537416 679448 752246 869164 940478 957404 1504492 1521037 1738328 1880956 1914808 2390201 2632861 3008984 3042074 3761912 4780402 5265722 6084148 6736021 9560804 10531444 12168296 13472042 16731407 19121608 21062888 26944084 33462814 47152147 53888168 66925628 74096231 94304294 133851256 148192462 188608588 296384924 377217176 518673617 592769848 1037347234 2074694468 4149388936