Search a number
-
+
5023155312 = 2432713935851
BaseRepresentation
bin1001010110110011…
…10100010001110000
3110222001221201200100
410223121310101300
540241411432222
62150235352400
7235323054450
oct45331642160
913861851610
105023155312
112148492a2a
12b822b2700
136208a8266
143591abd60
151e5ecc4ac
hex12b674470

5023155312 has 120 divisors (see below), whose sum is σ = 16182158720. Its totient is φ = 1424822400.

The previous prime is 5023155299. The next prime is 5023155317. The reversal of 5023155312 is 2135513205.

It is a happy number.

5023155312 is a `hidden beast` number, since 502 + 3 + 155 + 3 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5023155317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122187 + ... + 158037.

Almost surely, 25023155312 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 5023155312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091079360).

5023155312 is an abundant number, since it is smaller than the sum of its proper divisors (11159003408).

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

5023155312 is a wasteful number, since it uses less digits than its factorization.

5023155312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36011 (or 36002 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5023155312 is about 70874.2217735052. The cubic root of 5023155312 is about 1712.6115507423.

Adding to 5023155312 its reverse (2135513205), we get a palindrome (7158668517).

The spelling of 5023155312 in words is "five billion, twenty-three million, one hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 139 144 168 252 278 336 417 504 556 834 973 1008 1112 1251 1668 1946 2224 2502 2919 3336 3892 5004 5838 6672 7784 8757 10008 11676 15568 17514 20016 23352 35028 35851 46704 70056 71702 107553 140112 143404 215106 250957 286808 322659 430212 501914 573616 645318 752871 860424 1003828 1290636 1505742 1720848 2007656 2258613 2581272 3011484 4015312 4517226 4983289 5162544 6022968 9034452 9966578 12045936 14949867 18068904 19933156 29899734 34883023 36137808 39866312 44849601 59799468 69766046 79732624 89699202 104649069 119598936 139532092 179398404 209298138 239197872 279064184 313947207 358796808 418596276 558128368 627894414 717593616 837192552 1255788828 1674385104 2511577656 5023155312