Search a number
-
+
45537298985688 = 233371132691687033
BaseRepresentation
bin10100101101010011110101…
…00001111011001011011000
312222020022201122212122101120
422112221322201323023120
521432040342020020223
6240503314002445240
712406650501606666
oct1226517241731330
9188208648778346
1045537298985688
1113567295139034
125135525363820
131c541c20aba13
14b36034a37c36
1553e7e2872be3
hex296a7a87b2d8

45537298985688 has 128 divisors (see below), whose sum is σ = 118393346865600. Its totient is φ = 14583730323456.

The previous prime is 45537298985683. The next prime is 45537298985729. The reversal of 45537298985688 is 88658989273554.

It is a Cunningham number, because it is equal to 67481332-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45537298985683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26149020 + ... + 27836052.

Almost surely, 245537298985688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45537298985688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59196673432800).

45537298985688 is an abundant number, since it is smaller than the sum of its proper divisors (72856047879912).

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

45537298985688 is a wasteful number, since it uses less digits than its factorization.

45537298985688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687461 (or 1687457 counting only the distinct ones).

The product of its digits is 41803776000, while the sum is 87.

The spelling of 45537298985688 in words is "forty-five trillion, five hundred thirty-seven billion, two hundred ninety-eight million, nine hundred eighty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 113 148 222 226 269 296 339 444 452 538 678 807 888 904 1076 1356 1614 2152 2712 3228 4181 6456 8362 9953 12543 16724 19906 25086 29859 30397 33448 39812 50172 59718 60794 79624 91191 100344 119436 121588 182382 238872 243176 364764 729528 1124689 1687033 2249378 3374066 3374067 4498756 5061099 6748132 6748134 8997512 10122198 13496264 13496268 20244396 26992536 40488792 62420221 124840442 187260663 190634729 249680884 374521326 381269458 453811877 499361768 571904187 749042652 762538916 907623754 1143808374 1361435631 1498085304 1525077832 1815247508 2287616748 2722871262 3630495016 4575233496 5445742524 7053484973 10891485048 14106969946 16791039449 21160454919 28213939892 33582078898 42320909838 50373118347 51280742101 56427879784 67164157796 84641819676 100746236694 102561484202 134328315592 153842226303 169283639352 201492473388 205122968404 307684452606 402984946776 410245936808 615368905212 1230737810424 1897387457737 3794774915474 5692162373211 7589549830948 11384324746422 15179099661896 22768649492844 45537298985688