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5187328344 = 2333112419059
BaseRepresentation
bin1001101010011000…
…00101100101011000
3111101111212120202000
410311030011211120
541110424001334
62214422241000
7242355364152
oct46514054530
914344776660
105187328344
112222125620
121009286160
136488ca273
14372d05ad2
1520560b299
hex135305958

5187328344 has 128 divisors (see below), whose sum is σ = 15786144000. Its totient is φ = 1565222400.

The previous prime is 5187328327. The next prime is 5187328403. The reversal of 5187328344 is 4438237815.

5187328344 is a `hidden beast` number, since 518 + 73 + 28 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5187328344.

It is a congruent number.

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, 568087 + ... + 577145.

It is an arithmetic number, because the mean of its divisors is an integer number (123329250).

Almost surely, 25187328344 is an apocalyptic number.

5187328344 is a gapful number since it is divisible by the number (54) 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 5187328344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893072000).

5187328344 is an abundant number, since it is smaller than the sum of its proper divisors (10598815656).

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

5187328344 is a wasteful number, since it uses less digits than its factorization.

5187328344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326 (or 9316 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5187328344 is about 72023.1097912330. The cubic root of 5187328344 is about 1731.0697988549.

It can be divided in two parts, 518732 and 8344, that added together give a square (527076 = 7262).

The spelling of 5187328344 in words is "five billion, one hundred eighty-seven million, three hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 241 264 297 396 482 594 723 792 964 1188 1446 1928 2169 2376 2651 2892 4338 5302 5784 6507 7953 8676 9059 10604 13014 15906 17352 18118 21208 23859 26028 27177 31812 36236 47718 52056 54354 63624 71577 72472 81531 95436 99649 108708 143154 163062 190872 199298 217416 244593 286308 298947 326124 398596 489186 572616 597894 652248 797192 896841 978372 1195788 1793682 1956744 2183219 2391576 2690523 3587364 4366438 5381046 6549657 7174728 8732876 10762092 13099314 17465752 19648971 21524184 24015409 26198628 39297942 48030818 52397256 58946913 72046227 78595884 96061636 117893826 144092454 157191768 192123272 216138681 235787652 288184908 432277362 471575304 576369816 648416043 864554724 1296832086 1729109448 2593664172 5187328344