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148015096164684 = 22337699727981587
BaseRepresentation
bin100001101001111001110011…
…001110100111000101001100
3201102002002211112201120022000
4201221321303032213011030
5123400034404104232214
61242445110234152300
743114511031424260
oct4151716316470514
9642062745646260
10148015096164684
1143186939048441
1214726398282690
1364789c0a50788
142879d7c8640a0
15121a32b90e809
hex869e733a714c

148015096164684 has 96 divisors (see below), whose sum is σ = 438625942325760. Its totient is φ = 42283981941696.

The previous prime is 148015096164679. The next prime is 148015096164701. The reversal of 148015096164684 is 486461690510841.

148015096164684 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 1 + 5 + 0 + 9 + 616 + 4 + 6 + 8 + 4 = 666.

148015096164684 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8701062 + ... + 19280525.

It is an arithmetic number, because the mean of its divisors is an integer number (4569020232560).

Almost surely, 2148015096164684 is an apocalyptic number.

148015096164684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

148015096164684 is an abundant number, since it is smaller than the sum of its proper divisors (290610846161076).

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

148015096164684 is a wasteful number, since it uses less digits than its factorization.

148015096164684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27988604 (or 27988596 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 148015096164684 in words is "one hundred forty-eight trillion, fifteen billion, ninety-six million, one hundred sixty-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 6997 13994 20991 27988 41982 48979 62973 83964 97958 125946 146937 188919 195916 251892 293874 377838 440811 587748 755676 881622 1322433 1763244 2644866 5289732 27981587 55963174 83944761 111926348 167889522 195871109 251834283 335779044 391742218 503668566 587613327 755502849 783484436 1007337132 1175226654 1511005698 1762839981 2350453308 3022011396 3525679962 5288519943 7051359924 10577039886 21154079772 195787164239 391574328478 587361492717 783148656956 1174722985434 1370510149673 1762084478151 2349445970868 2741020299346 3524168956302 4111530449019 5286253434453 5482040598692 7048337912604 8223060898038 10572506868906 12334591347057 16446121796076 21145013737812 24669182694114 37003774041171 49338365388228 74007548082342 148015096164684