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13047382734 = 2317317189653
BaseRepresentation
bin11000010011010111…
…10100001011001110
31020200021221201100120
430021223310023032
5203210112221414
65554402405410
7641216631501
oct141153641316
936607851316
1013047382734
1155959a8841
122641660866
1312cc151a19
148bab81138
155156b12a9
hex309af42ce

13047382734 has 128 divisors (see below), whose sum is σ = 29292503040. Its totient is φ = 3855667200.

The previous prime is 13047382729. The next prime is 13047382741. The reversal of 13047382734 is 43728374031.

It is a happy number.

13047382734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×130473827343 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 19980352 + ... + 19981004.

It is an arithmetic number, because the mean of its divisors is an integer number (228847680).

Almost surely, 213047382734 is an apocalyptic number.

13047382734 is an abundant number, since it is smaller than the sum of its proper divisors (16245120306).

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

13047382734 is a wasteful number, since it uses less digits than its factorization.

13047382734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866.

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 13047382734 in words is "thirteen billion, forty-seven million, three hundred eighty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 17 31 34 51 62 71 89 93 102 142 178 186 213 267 426 527 534 653 1054 1207 1306 1513 1581 1959 2201 2414 2759 3026 3162 3621 3918 4402 4539 5518 6319 6603 7242 8277 9078 11101 12638 13206 16554 18957 20243 22202 33303 37417 37914 40486 46363 46903 58117 60729 66606 74834 92726 93806 107423 112251 116234 121458 139089 140709 174351 195889 214846 224502 278178 281418 322269 344131 348702 391778 587667 644538 688262 788171 987989 1032393 1175334 1437253 1576342 1801627 1975978 2064786 2364513 2874506 2963967 3330113 3603254 4126307 4311759 4729026 5404881 5927934 6660226 8252614 8623518 9990339 10809762 12378921 19980678 24433301 24757842 30627659 48866602 61255318 70147219 73299903 91882977 127915517 140294438 146599806 183765954 210441657 255831034 383746551 420883314 767493102 2174563789 4349127578 6523691367 13047382734