Search a number
-
+
95086804224 = 283659187877
BaseRepresentation
bin101100010001110011…
…1010111110100000000
3100002102202121010200210
41120203213113310000
53024214210213344
6111403212114120
76604224333366
oct1304347276400
9302382533623
1095086804224
1137365027425
1216518465940
138c749542c9
144860717636
152717c2cdb9
hex16239d7d00

95086804224 has 72 divisors (see below), whose sum is σ = 253454937120. Its totient is φ = 31647336448.

The previous prime is 95086804223. The next prime is 95086804243. The reversal of 95086804224 is 42240868059.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95086804223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412174 + ... + 600050.

It is an arithmetic number, because the mean of its divisors is an integer number (3520207460).

Almost surely, 295086804224 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 95086804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126727468560).

95086804224 is an abundant number, since it is smaller than the sum of its proper divisors (158368132896).

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

95086804224 is a wasteful number, since it uses less digits than its factorization.

95086804224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188555 (or 188541 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 95086804224 in words is "ninety-five billion, eighty-six million, eight hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 659 768 1318 1977 2636 3954 5272 7908 10544 15816 21088 31632 42176 63264 84352 126528 168704 187877 253056 375754 506112 563631 751508 1127262 1503016 2254524 3006032 4509048 6012064 9018096 12024128 18036192 24048256 36072384 48096512 72144768 123810943 144289536 247621886 371432829 495243772 742865658 990487544 1485731316 1980975088 2971462632 3961950176 5942925264 7923900352 11885850528 15847800704 23771701056 31695601408 47543402112 95086804224