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34054154505 = 3257215444061
BaseRepresentation
bin11111101101110010…
…010010100100001001
310020220021220021211200
4133231302102210021
51024220330421010
623351054414413
72313615352200
oct375562224411
9106807807750
1034054154505
1113495756348
126724801409
133299297ba7
141910a58237
15d449e9cc0
hex7edc92909

34054154505 has 36 divisors (see below), whose sum is σ = 68664299652. Its totient is φ = 15567612480.

The previous prime is 34054154443. The next prime is 34054154507. The reversal of 34054154505 is 50545145043.

It can be written as a sum of positive squares in 2 ways, for example, as 4632299721 + 29421854784 = 68061^2 + 171528^2 .

It is not a de Polignac number, because 34054154505 - 212 = 34054150409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34054154505.

It is not an unprimeable number, because it can be changed into a prime (34054154507) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7719826 + ... + 7724235.

It is an arithmetic number, because the mean of its divisors is an integer number (1907341657).

Almost surely, 234054154505 is an apocalyptic number.

34054154505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34054154505 is an abundant number, since it is smaller than the sum of its proper divisors (34610145147).

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

34054154505 is a wasteful number, since it uses less digits than its factorization.

34054154505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15444086 (or 15444076 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 34054154505 its reverse (50545145043), we get a palindrome (84599299548).

The spelling of 34054154505 in words is "thirty-four billion, fifty-four million, one hundred fifty-four thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 15444061 46332183 77220305 108108427 138996549 231660915 324325281 540542135 694982745 756758989 972975843 1621626405 2270276967 3783794945 4864879215 6810830901 11351384835 34054154505