Search a number
-
+
6098010336 = 25321110311867
BaseRepresentation
bin1011010110111100…
…00100000011100000
3120201222111000120200
411223132010003200
544442042312321
62445033305200
7304054142535
oct55336040340
916658430520
106098010336
11264a193470
121222265200
13762493a52
1441bc42d8c
1525a547d26
hex16b7840e0

6098010336 has 144 divisors (see below), whose sum is σ = 18946182528. Its totient is φ = 1845100800.

The previous prime is 6098010329. The next prime is 6098010371. The reversal of 6098010336 is 6330108906.

It is a happy number.

6098010336 is a `hidden beast` number, since 609 + 8 + 0 + 10 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6098010336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3265275 + ... + 3267141.

It is an arithmetic number, because the mean of its divisors is an integer number (131570712).

Almost surely, 26098010336 is an apocalyptic number.

6098010336 is a gapful number since it is divisible by the number (66) 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 6098010336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473091264).

6098010336 is an abundant number, since it is smaller than the sum of its proper divisors (12848172192).

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

6098010336 is a wasteful number, since it uses less digits than its factorization.

6098010336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6098010336 is about 78089.7582017002. The cubic root of 6098010336 is about 1826.9614576242.

The spelling of 6098010336 in words is "six billion, ninety-eight million, ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1031 1056 1584 1867 2062 3093 3168 3734 4124 5601 6186 7468 8248 9279 11202 11341 12372 14936 16496 16803 18558 20537 22404 22682 24744 29872 32992 33606 34023 37116 41074 44808 45364 49488 59744 61611 67212 68046 74232 82148 89616 90728 98976 102069 123222 134424 136092 148464 164296 179232 181456 184833 204138 246444 268848 272184 296928 328592 362912 369666 408276 492888 537696 544368 657184 739332 816552 985776 1088736 1478664 1633104 1924877 1971552 2957328 3266208 3849754 5774631 5914656 7699508 11549262 15399016 17323893 21173647 23098524 30798032 34647786 42347294 46197048 61596064 63520941 69295572 84694588 92394096 127041882 138591144 169389176 184788192 190562823 254083764 277182288 338778352 381125646 508167528 554364576 677556704 762251292 1016335056 1524502584 2032670112 3049005168 6098010336