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133417093637982 = 23711172999244249
BaseRepresentation
bin11110010101011110010110…
…011110010010011101011110
3122111101112211122112201021210
4132111132112132102131132
5114441401201432403412
61151430544445405250
740050031645325040
oct3625362636223536
9574345748481253
10133417093637982
1139568965200540
1212b69162869826
13595a240c405bb
1424d35c954da90
15106574120783c
hex79579679275e

133417093637982 has 96 divisors (see below), whose sum is σ = 353396718432000. Its totient is φ = 32615332254720.

The previous prime is 133417093637969. The next prime is 133417093637987. The reversal of 133417093637982 is 289736390714331.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133417093637987) 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, 499488607 + ... + 499755642.

It is an arithmetic number, because the mean of its divisors is an integer number (3681215817000).

Almost surely, 2133417093637982 is an apocalyptic number.

133417093637982 is an abundant number, since it is smaller than the sum of its proper divisors (219979624794018).

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

133417093637982 is a wasteful number, since it uses less digits than its factorization.

133417093637982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999244306 (or 999244289 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 66.

The spelling of 133417093637982 in words is "one hundred thirty-three trillion, four hundred seventeen billion, ninety-three million, six hundred thirty-seven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 289 357 374 462 561 578 714 867 1122 1309 1734 2023 2618 3179 3927 4046 6069 6358 7854 9537 12138 19074 22253 44506 66759 133518 999244249 1998488498 2997732747 5995465494 6994709743 10991686739 13989419486 16987152233 20984129229 21983373478 32975060217 33974304466 41968258458 50961456699 65950120434 76941807173 101922913398 118910065631 153883614346 186858674563 230825421519 237820131262 288781587961 356730196893 373717349126 461650843038 560576023689 577563175922 713460393786 866344763883 1121152047378 1308010721941 1732689527766 2021471115727 2616021443882 3176597467571 3924032165823 4042942231454 6064413347181 6353194935142 7848064331646 9529792402713 12128826694362 19059584805426 22236182272997 44472364545994 66708546818991 133417093637982