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45987125366721 = 37113131156336677
BaseRepresentation
bin10100111010011001101100…
…10001011000111111000001
320000211022210211120102120010
422131030312101120333001
522011423113043213341
6241450105503135133
712454313560013010
oct1235146621307701
9200738724512503
1045987125366721
1113720037429a30
1251a87432a44a9
131c8774b50b456
14b4db08454a77
1554b36d768716
hex29d336458fc1

45987125366721 has 128 divisors (see below), whose sum is σ = 79308648087552. Its totient is φ = 23002893792000.

The previous prime is 45987125366701. The next prime is 45987125366731. The reversal of 45987125366721 is 12766352178954.

45987125366721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45987125366721 - 27 = 45987125366593 is a prime.

It is a super-2 number, since 2×459871253667212 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45987125366701) 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 127 ways as a sum of consecutive naturals, for example, 1253822635 + ... + 1253859311.

It is an arithmetic number, because the mean of its divisors is an integer number (619598813184).

Almost surely, 245987125366721 is an apocalyptic number.

It is an amenable number.

45987125366721 is a deficient number, since it is larger than the sum of its proper divisors (33321522720831).

45987125366721 is a wasteful number, since it uses less digits than its factorization.

45987125366721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37603.

The product of its digits is 152409600, while the sum is 66.

The spelling of 45987125366721 in words is "forty-five trillion, nine hundred eighty-seven billion, one hundred twenty-five million, three hundred sixty-six thousand, seven hundred twenty-one".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 311 341 563 651 933 1023 1689 2177 2387 3421 3941 6193 6531 7161 9641 10263 11823 17453 18579 23947 28923 36677 43351 52359 67487 71841 106051 110031 122171 130053 175093 191983 202461 256739 318153 366513 403447 525279 575949 742357 770217 1136987 1210341 1225651 1343881 1926023 2227071 2824129 3410961 3676953 4031643 5427883 5778069 7958909 8472387 11406547 12506857 13482161 16283649 20649151 23876727 34219641 37520571 37995181 40446483 59706713 61947453 79845829 87547999 113985543 125472017 144544057 179120139 227140661 239537487 262643997 353602957 376416051 417946991 433632171 640123681 681421983 878304119 1060808871 1253840973 1589984627 1920371043 2475220699 2634912357 3889632527 4480865767 4769953881 6421885961 7041360491 7425662097 11668897581 13442597301 19265657883 21124081473 27227427689 44953201727 49289523437 70640745571 81682283067 134859605181 147868570311 199078464791 211922236713 494485218997 597235394373 1393549253537 1483455656991 2189863112701 4180647760611 6569589338103 15329041788907 45987125366721