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31661667145316 = 221317192464921341
BaseRepresentation
bin1110011001011110011100…
…11011000101011001100100
311011002211022000120210122102
413030233032123011121210
513122221043242122231
6151201100304551232
76445323425155025
oct714571633053144
9134084260523572
1031661667145316
11a0a770175a54a
1236742b0322518
1314888b4307590
147b660badcc4c
1539d8d5174acb
hex1ccbce6c5664

31661667145316 has 144 divisors (see below), whose sum is σ = 66697817785200. Its totient is φ = 13026203688960.

The previous prime is 31661667145247. The next prime is 31661667145319. The reversal of 31661667145316 is 61354176616613.

It can be written as a sum of positive squares in 8 ways, for example, as 10995060174400 + 20666606970916 = 3315880^2 + 4546054^2 .

It is a super-2 number, since 2×316616671453162 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31661667145319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1483596806 + ... + 1483618146.

It is an arithmetic number, because the mean of its divisors is an integer number (463179290175).

Almost surely, 231661667145316 is an apocalyptic number.

It is an amenable number.

31661667145316 is an abundant number, since it is smaller than the sum of its proper divisors (35036150639884).

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

31661667145316 is a wasteful number, since it uses less digits than its factorization.

31661667145316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26062 (or 26041 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 56.

The spelling of 31661667145316 in words is "thirty-one trillion, six hundred sixty-one billion, six hundred sixty-seven million, one hundred forty-five thousand, three hundred sixteen".

Divisors: 1 2 4 13 17 19 26 34 38 52 68 76 221 247 323 361 442 494 646 722 884 988 1292 1444 4199 4649 4693 6137 8398 9298 9386 12274 16796 18596 18772 21341 24548 42682 60437 79033 79781 85364 88331 120874 158066 159562 176662 241748 277433 316132 319124 353324 362797 405479 554866 725594 810958 1027429 1109732 1148303 1451188 1501627 1621916 1678289 2054858 2296606 3003254 3356578 4109716 4593212 4716361 5271227 6006508 6713156 6893143 7704101 9432722 10542454 13786286 15408202 18865444 19521151 21084908 21817757 27572572 28530913 30816404 39042302 43635514 57061826 78084604 87271028 89610859 99214309 100153313 114123652 130969717 179221718 198428618 200306626 261939434 358443436 370901869 396857236 400613252 523878868 741803738 1289786017 1483607476 1686643253 1702606321 1885071871 2579572034 3373286506 3405212642 3770143742 5159144068 6746573012 6810425284 7540287484 21926362289 24505934323 32046221807 35816365549 43852724578 49011868646 64092443614 71632731098 87705449156 98023737292 128184887228 143265462196 416600883491 465612752137 608878214333 833201766982 931225504274 1217756428666 1666403533964 1862451008548 2435512857332 7915416786329 15830833572658 31661667145316