Search a number
-
+
17230828032 = 293411107353
BaseRepresentation
bin10000000011000010…
…011001001000000000
31122110211211202110000
4100003002121020000
5240242042444112
611525444240000
71146665423145
oct200302311000
948424752400
1017230828032
117342398150
12340a6a0000
131817a82542
14b966083cc
156acac07dc
hex403099200

17230828032 has 400 divisors, whose sum is σ = 56789659872. Its totient is φ = 5158010880.

The previous prime is 17230827973. The next prime is 17230828067. The reversal of 17230828032 is 23082803271.

It is a happy number.

17230828032 is a `hidden beast` number, since 1 + 72 + 308 + 280 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48812368 + ... + 48812720.

Almost surely, 217230828032 is an apocalyptic number.

17230828032 is a gapful number since it is divisible by the number (12) 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 17230828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28394829936).

17230828032 is an abundant number, since it is smaller than the sum of its proper divisors (39558831840).

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

17230828032 is a wasteful number, since it uses less digits than its factorization.

17230828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 17230828032 in words is "seventeen billion, two hundred thirty million, eight hundred twenty-eight thousand, thirty-two".