Search a number
-
+
5016094524 = 22327214591949
BaseRepresentation
bin1001010101111101…
…11000011100111100
3110221120200000002200
410222332320130330
540233110011044
62145424151500
7235206046200
oct45276703474
913846600080
105016094524
112144500071
12b7ba68590
1361c2a548c
14358290b00
151e5585369
hex12afb873c

5016094524 has 108 divisors (see below), whose sum is σ = 14767389000. Its totient is φ = 1431452736.

The previous prime is 5016094513. The next prime is 5016094537. The reversal of 5016094524 is 4254906105.

5016094524 is a `hidden beast` number, since 5 + 0 + 1 + 609 + 45 + 2 + 4 = 666.

It is a super-2 number, since 2×50160945242 = 50322408547405573152, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2572702 + ... + 2574650.

Almost surely, 25016094524 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 5016094524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383694500).

5016094524 is an abundant number, since it is smaller than the sum of its proper divisors (9751294476).

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

5016094524 is a wasteful number, since it uses less digits than its factorization.

5016094524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5016094524 is about 70824.3921541159. The cubic root of 5016094524 is about 1711.8087314887.

The spelling of 5016094524 in words is "five billion, sixteen million, ninety-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1459 1764 1949 2918 3898 4377 5836 5847 7796 8754 10213 11694 13131 13643 17508 17541 20426 23388 26262 27286 30639 35082 40852 40929 52524 54572 61278 70164 71491 81858 91917 95501 122556 122787 142982 163716 183834 191002 214473 245574 285964 286503 367668 382004 428946 491148 573006 643419 857892 859509 1146012 1286838 1719018 2573676 2843591 3438036 5687182 8530773 11374364 17061546 19905137 25592319 34123092 39810274 51184638 59715411 79620548 102369276 119430822 139335959 179146233 238861644 278671918 358292466 418007877 557343836 716584932 836015754 1254023631 1672031508 2508047262 5016094524