Search a number
-
+
9628312320 = 2833511193143
BaseRepresentation
bin10001111011110010…
…00110001100000000
3220212000100221111000
420331321012030000
5124204321443240
64231224052000
7460412206254
oct107571061400
926760327430
109628312320
1140a0a27610
121a48604000
13ba59ac933
14674a4c264
153b543d430
hex23de46300

9628312320 has 1152 divisors, whose sum is σ = 41442508800. Its totient is φ = 2090188800.

The previous prime is 9628312313. The next prime is 9628312327. The reversal of 9628312320 is 232138269.

9628312320 is a `hidden beast` number, since 9 + 628 + 3 + 1 + 2 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (9628312313) and next prime (9628312327).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9628312327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223914219 + ... + 223914261.

It is an arithmetic number, because the mean of its divisors is an integer number (35974400).

Almost surely, 29628312320 is an apocalyptic number.

9628312320 is a gapful number since it is divisible by the number (90) 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 9628312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20721254400).

9628312320 is an abundant number, since it is smaller than the sum of its proper divisors (31814196480).

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

9628312320 is a wasteful number, since it uses less digits than its factorization.

9628312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9628312320 is about 98123.9640454869. The cubic root of 9628312320 is about 2127.4044162096.

The spelling of 9628312320 in words is "nine billion, six hundred twenty-eight million, three hundred twelve thousand, three hundred twenty".