Search a number
-
+
3332466385920 = 2103657319137
BaseRepresentation
bin110000011111100110011…
…110011010010000000000
3102210120200022102121000000
4300133212132122100000
5414044342343322140
611030525224000000
7462522423624000
oct60374636322000
912716608377000
103332466385920
111075322441281
12459a30300000
131b23339b4049
14b7413c64000
155ba42317a30
hex307e679a400

3332466385920 has 2464 divisors, whose sum is σ = 14820345504000. Its totient is φ = 716349505536.

The previous prime is 3332466385877. The next prime is 3332466385961. The reversal of 3332466385920 is 295836642333.

It is a happy number.

3332466385920 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 46 + 6 + 3 + 8 + 592 + 0 = 666.

It is a super-2 number, since 2×33324663859202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 24324572092 + ... + 24324572228.

Almost surely, 23332466385920 is an apocalyptic number.

3332466385920 is a gapful number since it is divisible by the number (30) 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 3332466385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410172752000).

3332466385920 is an abundant number, since it is smaller than the sum of its proper divisors (11487879118080).

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

3332466385920 is an equidigital number, since it uses as much as digits as its factorization.

3332466385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 3332466385920 in words is "three trillion, three hundred thirty-two billion, four hundred sixty-six million, three hundred eighty-five thousand, nine hundred twenty".