Search a number
-
+
33330245312 = 2672134319013
BaseRepresentation
bin11111000010101000…
…110010111011000000
310012000211201220010002
4133002220302323000
51021230020322222
623151154455132
72256645260600
oct370250627300
9105024656102
1033330245312
1113154066691
1265622944a8
1331b2306c60
141882858c00
15d011a3392
hex7c2a32ec0

33330245312 has 168 divisors, whose sum is σ = 84787685136. Its totient is φ = 12878272512.

The previous prime is 33330245297. The next prime is 33330245357. The reversal of 33330245312 is 21354203333.

It is a super-2 number, since 2×333302453122 (a number of 22 digits) contains 22 as substring.

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, 1743518 + ... + 1762530.

It is an arithmetic number, because the mean of its divisors is an integer number (504688602).

Almost surely, 233330245312 is an apocalyptic number.

33330245312 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 33330245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42393842568).

33330245312 is an abundant number, since it is smaller than the sum of its proper divisors (51457439824).

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

33330245312 is a wasteful number, since it uses less digits than its factorization.

33330245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19095 (or 19078 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 29.

Adding to 33330245312 its reverse (21354203333), we get a palindrome (54684448645).

The spelling of 33330245312 in words is "thirty-three billion, three hundred thirty million, two hundred forty-five thousand, three hundred twelve".