Search a number
-
+
13737341034 = 2326131245001
BaseRepresentation
bin11001100101100111…
…10011000001101010
31022110101020020012200
430302303303001222
5211113224403114
610151050521030
7664265320644
oct146263630152
938411206180
1013737341034
11590a40970a
1227b4736176
1313ac086581
14944663894
1555604d409
hex332cf306a

13737341034 has 24 divisors (see below), whose sum is σ = 29812817892. Its totient is φ = 4571640000.

The previous prime is 13737341027. The next prime is 13737341041. The reversal of 13737341034 is 43014373731.

13737341034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13737341027) and next prime (13737341041).

It can be written as a sum of positive squares in 2 ways, for example, as 9800406009 + 3936935025 = 98997^2 + 62745^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13737341034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611467 + ... + 633534.

Almost surely, 213737341034 is an apocalyptic number.

13737341034 is an abundant number, since it is smaller than the sum of its proper divisors (16075476858).

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

13737341034 is a wasteful number, since it uses less digits than its factorization.

13737341034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245622 (or 1245619 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 13737341034 in words is "thirteen billion, seven hundred thirty-seven million, three hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 613 1226 1839 3678 5517 11034 1245001 2490002 3735003 7470006 11205009 22410018 763185613 1526371226 2289556839 4579113678 6868670517 13737341034