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5741362135296 = 283630764329
BaseRepresentation
bin101001110001100001111…
…0110011100000100000000
3202022212110101202201000000
41103203003312130010000
51223031302201312141
620113313444000000
71131541206636324
oct123430366340400
922285411681000
105741362135296
111913997280647
1278886a690000
1332853c865578
1415bc52111984
159e52cb765b6
hex538c3d9c100

5741362135296 has 126 divisors (see below), whose sum is σ = 17182585884590. Its totient is φ = 1913787316224.

The previous prime is 5741362135283. The next prime is 5741362135349. The reversal of 5741362135296 is 6925312631475.

5741362135296 is a `hidden beast` number, since 5 + 7 + 4 + 1 + 3 + 621 + 3 + 5 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5291840160000 + 449521975296 = 2300400^2 + 670464^2 .

It is a super-2 number, since 2×57413621352962 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15195541 + ... + 15568788.

Almost surely, 25741362135296 is an apocalyptic number.

It is an amenable number.

5741362135296 is an abundant number, since it is smaller than the sum of its proper divisors (11441223749294).

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

5741362135296 is an frugal number, since it uses more digits than its factorization.

5741362135296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30764363 (or 30764334 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 5741362135296 in words is "five trillion, seven hundred forty-one billion, three hundred sixty-two million, one hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 11664 15552 20736 23328 31104 46656 62208 93312 186624 30764329 61528658 92292987 123057316 184585974 246114632 276878961 369171948 492229264 553757922 738343896 830636883 984458528 1107515844 1476687792 1661273766 1968917056 2215031688 2491910649 2953375584 3322547532 3937834112 4430063376 4983821298 5906751168 6645095064 7475731947 7875668224 8860126752 9967642596 11813502336 13290190128 14951463894 17720253504 19935285192 22427195841 23627004672 26580380256 29902927788 35440507008 39870570384 44854391682 53160760512 59805855576 70881014016 79741140768 89708783364 106321521024 119611711152 159482281536 179417566728 212643042048 239223422304 318964563072 358835133456 478446844608 637929126144 717670266912 956893689216 1435340533824 1913787378432 2870681067648 5741362135296