Search a number
-
+
5151023514 = 2327135475749
BaseRepresentation
bin1001100110000011…
…00110000110011010
3111021222120002212200
410303001212012122
541022130223024
62211044151030
7241434656160
oct46301460632
914258502780
105151023514
11220368922a
12bb9098476
13641228610
1436c175230
152023392c9
hex13306619a

5151023514 has 96 divisors (see below), whose sum is σ = 13763568000. Its totient is φ = 1355792256.

The previous prime is 5151023503. The next prime is 5151023531. The reversal of 5151023514 is 4153201515.

5151023514 is a `hidden beast` number, since 515 + 102 + 35 + 14 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893112 + ... + 898860.

It is an arithmetic number, because the mean of its divisors is an integer number (143370500).

Almost surely, 25151023514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151023514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881784000).

5151023514 is an abundant number, since it is smaller than the sum of its proper divisors (8612544486).

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

5151023514 is a wasteful number, since it uses less digits than its factorization.

5151023514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5151023514 is about 71770.6312777030. The cubic root of 5151023514 is about 1727.0218973580.

The spelling of 5151023514 in words is "five billion, one hundred fifty-one million, twenty-three thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 547 819 1094 1638 1641 3282 3829 4923 5749 7111 7658 9846 11487 11498 14222 17247 21333 22974 34461 34494 40243 42666 49777 51741 63999 68922 74737 80486 99554 103482 120729 127998 149331 149474 224211 241458 298662 362187 447993 448422 523159 672633 724374 895986 1046318 1345266 1569477 3138954 3144703 4708431 6289406 9416862 9434109 18868218 22012921 28302327 40881139 44025842 56604654 66038763 81762278 122643417 132077526 198116289 245286834 286167973 367930251 396232578 572335946 735860502 858503919 1717007838 2575511757 5151023514