Search a number
-
+
3250555113792 = 263783181199809
BaseRepresentation
bin101111010011010100001…
…011101101000101000000
3102111202020202220211112110
4233103110023231011000
5411224114102120132
610525141233055320
7453562533404310
oct57232413550500
912452222824473
103250555113792
111043609690158
12445b903b7540
131a76ab8cca9c
14b3483329440
155984b1611cc
hex2f4d42ed140

3250555113792 has 448 divisors, whose sum is σ = 10065129984000. Its totient is φ = 906763714560.

The previous prime is 3250555113791. The next prime is 3250555113809. The reversal of 3250555113792 is 2973115550523.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×32505551137922 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3250555113791) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4017991084 + ... + 4017991892.

It is an arithmetic number, because the mean of its divisors is an integer number (22466808000).

Almost surely, 23250555113792 is an apocalyptic number.

3250555113792 is a gapful number since it is divisible by the number (32) 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 3250555113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032564992000).

3250555113792 is an abundant number, since it is smaller than the sum of its proper divisors (6814574870208).

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

3250555113792 is a wasteful number, since it uses less digits than its factorization.

3250555113792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 48.

The spelling of 3250555113792 in words is "three trillion, two hundred fifty billion, five hundred fifty-five million, one hundred thirteen thousand, seven hundred ninety-two".