Search a number
-
+
13483025920 = 295713311867
BaseRepresentation
bin11001000111010011…
…01010011000000000
31021210122200200110101
430203221222120000
5210103123312140
610105524012144
7655056554320
oct144351523000
937718620411
1013483025920
1157998a8a31
122743531054
13136b492a60
1491c983280
1553da6599a
hex323a6a600

13483025920 has 320 divisors, whose sum is σ = 41093369856. Its totient is φ = 4127293440.

The previous prime is 13483025903. The next prime is 13483025947. The reversal of 13483025920 is 2952038431.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 13483025920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7220827 + ... + 7222693.

Almost surely, 213483025920 is an apocalyptic number.

13483025920 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 13483025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20546684928).

13483025920 is an abundant number, since it is smaller than the sum of its proper divisors (27610343936).

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

13483025920 is a wasteful number, since it uses less digits than its factorization.

13483025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 13483025920 in words is "thirteen billion, four hundred eighty-three million, twenty-five thousand, nine hundred twenty".