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29993111287074 = 23213128175689261
BaseRepresentation
bin1101101000111010100001…
…01111100111010100100010
310221012022110111100212212100
412310131100233213110202
512412401342442141244
6143442351202111230
76213634154322105
oct664352057472442
9127168414325770
1029993111287074
119614009448081
123444a4834b516
1313974521cc460
1475996251c73c
153702ca143b69
hex1b4750be7522

29993111287074 has 24 divisors (see below), whose sum is σ = 69983926337052. Its totient is φ = 9228649626720.

The previous prime is 29993111287057. The next prime is 29993111287091. The reversal of 29993111287074 is 47078211139992.

29993111287074 is a `hidden beast` number, since 2 + 99 + 93 + 111 + 287 + 0 + 74 = 666.

It is an interprime number because it is at equal distance from previous prime (29993111287057) and next prime (29993111287091).

It can be written as a sum of positive squares in 2 ways, for example, as 29530040564025 + 463070723049 = 5434155^2 + 680493^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 64087844397 + ... + 64087844864.

Almost surely, 229993111287074 is an apocalyptic number.

29993111287074 is an abundant number, since it is smaller than the sum of its proper divisors (39990815049978).

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

29993111287074 is a wasteful number, since it uses less digits than its factorization.

29993111287074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128175689282 (or 128175689279 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 29993111287074 in words is "twenty-nine trillion, nine hundred ninety-three billion, one hundred eleven million, two hundred eighty-seven thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 128175689261 256351378522 384527067783 769054135566 1153581203349 1666283960393 2307162406698 3332567920786 4998851881179 9997703762358 14996555643537 29993111287074