Search a number
-
+
11349042890256 = 243278812797849
BaseRepresentation
bin1010010100100110011110…
…1010111000011000010000
31111011221212022102122221100
42211021213222320120100
52441420314434442011
640045402304024400
72250640601614221
oct245114752703020
944157768378840
1011349042890256
11368611392a575
12133362b602100
13644296921746
142b3421c63248
1514a33469ed56
hexa5267ab8610

11349042890256 has 30 divisors (see below), whose sum is σ = 31761557533550. Its totient is φ = 3783014296704.

The previous prime is 11349042890239. The next prime is 11349042890287. The reversal of 11349042890256 is 65209824094311.

It is a happy number.

11349042890256 is a `hidden beast` number, since 1 + 1 + 3 + 490 + 42 + 8 + 90 + 25 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9776978297856 + 1572064592400 = 3126816^2 + 1253820^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39406398781 + ... + 39406399068.

Almost surely, 211349042890256 is an apocalyptic number.

11349042890256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11349042890256 is an abundant number, since it is smaller than the sum of its proper divisors (20412514643294).

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

11349042890256 is a wasteful number, since it uses less digits than its factorization.

11349042890256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78812797863 (or 78812797854 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 11349042890256 in words is "eleven trillion, three hundred forty-nine billion, forty-two million, eight hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 78812797849 157625595698 236438393547 315251191396 472876787094 630502382792 709315180641 945753574188 1261004765584 1418630361282 1891507148376 2837260722564 3783014296752 5674521445128 11349042890256