Search a number
-
+
13292061120 = 2638513487
BaseRepresentation
bin11000110000100010…
…01100000111000000
31021022100100200000000
430120101030013000
5204210231423440
610034543000000
7650250440532
oct143021140700
937270320000
1013292061120
115701027288
1226ab599000
13133aa50130
14901473852
1552bde3730
hex31844c1c0

13292061120 has 504 divisors, whose sum is σ = 51232088544. Its totient is φ = 3265173504.

The previous prime is 13292061091. The next prime is 13292061127. The reversal of 13292061120 is 2116029231.

13292061120 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 20 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13292061127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27293517 + ... + 27294003.

Almost surely, 213292061120 is an apocalyptic number.

13292061120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13292061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25616044272).

13292061120 is an abundant number, since it is smaller than the sum of its proper divisors (37940027424).

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

13292061120 is an frugal number, since it uses more digits than its factorization.

13292061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13292061120 in words is "thirteen billion, two hundred ninety-two million, sixty-one thousand, one hundred twenty".