Search a number
-
+
5156044516 = 2271943263857
BaseRepresentation
bin1001100110101001…
…01111111011100100
3111022100000012101201
410303110233323210
541024421411031
62211343532244
7241525440520
oct46324577344
914270005351
105156044516
1122064a8617
12bba8ba084
13642295b1c
1436cac0d80
152029cbd61
hex13352fee4

5156044516 has 96 divisors (see below), whose sum is σ = 11162511360. Its totient is φ = 2034595584.

The previous prime is 5156044513. The next prime is 5156044547. The reversal of 5156044516 is 6154406515.

It is not an unprimeable number, because it can be changed into a prime (5156044511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6015960 + ... + 6016816.

It is an arithmetic number, because the mean of its divisors is an integer number (116276160).

Almost surely, 25156044516 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 5156044516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581255680).

5156044516 is an abundant number, since it is smaller than the sum of its proper divisors (6006466844).

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

5156044516 is a wasteful number, since it uses less digits than its factorization.

5156044516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The square root of 5156044516 is about 71805.6022605479. The cubic root of 5156044516 is about 1727.5828580035.

The spelling of 5156044516 in words is "five billion, one hundred fifty-six million, forty-four thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 263 266 301 526 532 602 817 857 1052 1204 1634 1714 1841 3268 3428 3682 4997 5719 5999 7364 9994 11309 11438 11998 16283 19988 22618 22876 23996 32566 34979 36851 45236 65132 69958 73702 79163 113981 139916 147404 158326 214871 225391 227962 257957 316652 429742 450782 455924 515914 700169 859484 901564 1031828 1400338 1504097 1577737 2800676 3008194 3155474 4282429 4901183 6016388 6310948 8564858 9691813 9802366 17129716 19383626 19604732 29977003 38767252 59954006 67842691 119908012 135685382 184144447 271370764 368288894 736577788 1289011129 2578022258 5156044516