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6116189824 = 271753181293
BaseRepresentation
bin1011011001000110…
…11010011010000000
3120210020200122011001
411230203122122000
5100011221033244
62450523101344
7304364520133
oct55443323200
916706618131
106116189824
11265947aa38
121228371854
1376618a644
1442041621a
1525be395d4
hex16c8da680

6116189824 has 128 divisors (see below), whose sum is σ = 13262492880. Its totient is φ = 2798714880.

The previous prime is 6116189819. The next prime is 6116189837. The reversal of 6116189824 is 4289816116.

It can be written as a sum of positive squares in 8 ways, for example, as 4235406400 + 1880783424 = 65080^2 + 43368^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20874222 + ... + 20874514.

Almost surely, 26116189824 is an apocalyptic number.

6116189824 is a gapful number since it is divisible by the number (64) 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 6116189824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631246440).

6116189824 is an abundant number, since it is smaller than the sum of its proper divisors (7146303056).

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

6116189824 is a wasteful number, since it uses less digits than its factorization.

6116189824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The square root of 6116189824 is about 78206.0728076791. The cubic root of 6116189824 is about 1828.7751788958.

The spelling of 6116189824 in words is "six billion, one hundred sixteen million, one hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 181 212 272 293 362 424 544 586 724 848 901 1088 1172 1448 1696 1802 2176 2344 2896 3077 3392 3604 4688 4981 5792 6154 6784 7208 9376 9593 9962 11584 12308 14416 15529 18752 19186 19924 23168 24616 28832 31058 37504 38372 39848 49232 53033 57664 62116 76744 79696 98464 106066 115328 124232 153488 159392 163081 196928 212132 248464 263993 306976 318784 326162 393856 424264 496928 527986 613952 637568 652324 848528 901561 993856 1055972 1227904 1304648 1697056 1803122 1987712 2111944 2609296 2810749 3394112 3606244 4223888 5218592 5621498 6788224 7212488 8447776 10437184 11242996 14424976 16895552 20874368 22485992 28849952 33791104 44971984 47782733 57699904 89943968 95565466 115399808 179887936 191130932 359775872 382261864 764523728 1529047456 3058094912 6116189824