Search a number
-
+
9029217064 = 23739733923
BaseRepresentation
bin10000110100010111…
…01110101100101000
3212022021001202021211
420122023232230220
5121442434421224
64051543242504
7436516036000
oct103213565450
925267052254
109029217064
11391383746a
1218bba49434
13b0b83caba
1461925d000
1537ca4d894
hex21a2eeb28

9029217064 has 64 divisors (see below), whose sum is σ = 19947312000. Its totient is φ = 3829658112.

The previous prime is 9029217061. The next prime is 9029217101. The reversal of 9029217064 is 4607129209.

It is not an unprimeable number, because it can be changed into a prime (9029217061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249207 + ... + 283129.

It is an arithmetic number, because the mean of its divisors is an integer number (311676750).

Almost surely, 29029217064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9029217064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973656000).

9029217064 is an abundant number, since it is smaller than the sum of its proper divisors (10918094936).

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

9029217064 is a wasteful number, since it uses less digits than its factorization.

9029217064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34047 (or 34029 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 9029217064 is about 95022.1924815461. The cubic root of 9029217064 is about 2082.3322784679.

The spelling of 9029217064 in words is "nine billion, twenty-nine million, two hundred seventeen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 97 98 194 196 343 388 392 679 686 776 1358 1372 2716 2744 4753 5432 9506 19012 33271 33923 38024 66542 67846 133084 135692 237461 266168 271384 474922 949844 1662227 1899688 3290531 3324454 6581062 6648908 11635589 13162124 13297816 23033717 23271178 26324248 46067434 46542356 92134868 93084712 161236019 184269736 322472038 644944076 1128652133 1289888152 2257304266 4514608532 9029217064