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6884939412 = 2235131732051
BaseRepresentation
bin1100110100101111…
…11101011010010100
3122202211020011100000
412122113331122110
5103100021030122
63055104051300
7332421006441
oct63227753224
918684204300
106884939412
112a1340697a
121401903b30
1385951b360
144945689c8
152a468c0ac
hex19a5fd694

6884939412 has 144 divisors (see below), whose sum is σ = 20580460992. Its totient is φ = 1993766400.

The previous prime is 6884939381. The next prime is 6884939419. The reversal of 6884939412 is 2149394886.

6884939412 is a `hidden beast` number, since 68 + 8 + 493 + 94 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6884939419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198787 + ... + 230837.

It is an arithmetic number, because the mean of its divisors is an integer number (142919868).

Almost surely, 26884939412 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 6884939412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290230496).

6884939412 is an abundant number, since it is smaller than the sum of its proper divisors (13695521580).

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

6884939412 is a wasteful number, since it uses less digits than its factorization.

6884939412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32100 (or 32086 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 6884939412 is about 82975.5350208723. The cubic root of 6884939412 is about 1902.3921312325.

The spelling of 6884939412 in words is "six billion, eight hundred eighty-four million, nine hundred thirty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 243 306 324 351 442 459 468 486 612 663 702 884 918 972 1053 1326 1377 1404 1836 1989 2106 2652 2754 3159 3978 4131 4212 5508 5967 6318 7956 8262 11934 12636 16524 17901 23868 32051 35802 53703 64102 71604 96153 107406 128204 192306 214812 288459 384612 416663 544867 576918 833326 865377 1089734 1153836 1249989 1634601 1666652 1730754 2179468 2499978 2596131 3269202 3461508 3749967 4903803 4999956 5192262 6538404 7083271 7499934 7788393 9807606 10384524 11249901 14166542 14711409 14999868 15576786 19615212 21249813 22499802 28333084 29422818 31153572 33749703 42499626 44134227 44999604 58845636 63749439 67499406 84999252 88268454 101249109 127498878 132402681 134998812 176536908 191248317 202498218 254997756 264805362 382496634 404996436 529610724 573744951 764993268 1147489902 1721234853 2294979804 3442469706 6884939412