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52887083659938 = 233111136637118717
BaseRepresentation
bin11000000011001101110111…
…10101011011001010100010
320221020221210210102010202000
430001212323311123022202
523413000221404104223
6304251554003504430
714065652143550463
oct1401467365331242
9227227723363660
1052887083659938
1115940316a65260
125b21a55388116
1323682cc7b3978
14d0ba69c90d6a
1561aaab240543
hex3019bbd5b2a2

52887083659938 has 128 divisors (see below), whose sum is σ = 129366301789440. Its totient is φ = 15882035420160.

The previous prime is 52887083659933. The next prime is 52887083659939. The reversal of 52887083659938 is 83995638078825.

52887083659938 is a `hidden beast` number, since 528 + 8 + 7 + 0 + 8 + 3 + 6 + 59 + 9 + 38 = 666.

52887083659938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52887083659933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445429356 + ... + 445548072.

It is an arithmetic number, because the mean of its divisors is an integer number (1010674232730).

Almost surely, 252887083659938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52887083659938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683150894720).

52887083659938 is an abundant number, since it is smaller than the sum of its proper divisors (76479218129502).

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

52887083659938 is a wasteful number, since it uses less digits than its factorization.

52887083659938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125489 (or 125483 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 52887083659938 in words is "fifty-two trillion, eight hundred eighty-seven billion, eighty-three million, six hundred fifty-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 113 198 226 297 339 594 678 1017 1243 2034 2486 3051 3729 6102 6637 7458 11187 13274 19911 22374 33561 39822 59733 67122 73007 118717 119466 146014 179199 219021 237434 356151 358398 438042 657063 712302 749981 1068453 1305887 1314126 1499962 1971189 2136906 2249943 2611774 3205359 3917661 3942378 4499886 6410718 6749829 7835322 8249791 11752983 13415021 13499658 16499582 20249487 23505966 24749373 26830042 35258949 40245063 40498974 49498746 70517898 74248119 80490126 120735189 147565231 148496238 222744357 241470378 295130462 362205567 442695693 445488714 724411134 787924729 885391386 1328087079 1575849458 2363774187 2656174158 3984261237 4727548374 7091322561 7968522474 8667172019 14182645122 17334344038 21273967683 26001516057 42547935366 52003032114 78004548171 89035494377 156009096342 178070988754 234013644513 267106483131 468027289026 534212966262 801319449393 979390438147 1602638898786 1958780876294 2403958348179 2938171314441 4807916696358 5876342628882 8814513943323 17629027886646 26443541829969 52887083659938