Search a number
-
+
3330273330432 = 28326745747207
BaseRepresentation
bin110000011101100011110…
…000100100010100000000
3102210101000110210211102200
4300131203300210110000
5414030344433033212
611025523443113200
7462414164150136
oct60354360442400
912711013724380
103330273330432
1110743a7525224
12459519972800
131b2074544589
14b72868b3756
155b964a1d6dc
hex30763c24500

3330273330432 has 216 divisors, whose sum is σ = 9766843859136. Its totient is φ = 1091106643968.

The previous prime is 3330273330407. The next prime is 3330273330463. The reversal of 3330273330432 is 2340333720333.

It is a super-2 number, since 2×33302733304322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70522573 + ... + 70569779.

Almost surely, 23330273330432 is an apocalyptic number.

3330273330432 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 3330273330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883421929568).

3330273330432 is an abundant number, since it is smaller than the sum of its proper divisors (6436570528704).

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

3330273330432 is a wasteful number, since it uses less digits than its factorization.

3330273330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47753 (or 47736 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 36.

The spelling of 3330273330432 in words is "three trillion, three hundred thirty billion, two hundred seventy-three million, three hundred thirty thousand, four hundred thirty-two".