Search a number
-
+
16040847924 = 22325383199509
BaseRepresentation
bin11101111000001101…
…11110101000110100
31112101220200111121200
432330012332220310
5230322424113144
611211415012500
71105335646323
oct167406765064
945356614550
1016040847924
116891705512
12313806a130
1316883889ba
14ac25660ba
1563d3b3c69
hex3bc1bea34

16040847924 has 144 divisors (see below), whose sum is σ = 42103152000. Its totient is φ = 5146682112.

The previous prime is 16040847919. The next prime is 16040847929. The reversal of 16040847924 is 42974804061.

It is an interprime number because it is at equal distance from previous prime (16040847919) and next prime (16040847929).

It is a self number, because there is not a number n which added to its sum of digits gives 16040847924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16040847929) 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 47 ways as a sum of consecutive naturals, for example, 31514182 + ... + 31514690.

It is an arithmetic number, because the mean of its divisors is an integer number (292383000).

Almost surely, 216040847924 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 16040847924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051576000).

16040847924 is an abundant number, since it is smaller than the sum of its proper divisors (26062304076).

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

16040847924 is a wasteful number, since it uses less digits than its factorization.

16040847924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16040847924 in words is "sixteen billion, forty million, eight hundred forty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 83 106 159 166 199 212 249 318 332 398 477 498 509 597 636 747 796 954 996 1018 1194 1494 1527 1791 1908 2036 2388 2988 3054 3582 4399 4581 6108 7164 8798 9162 10547 13197 16517 17596 18324 21094 26394 26977 31641 33034 39591 42188 42247 49551 52788 53954 63282 66068 79182 80931 84494 94923 99102 101291 107908 126564 126741 148653 158364 161862 168988 189846 198204 202582 242793 253482 297306 303873 323724 379692 380223 405164 485586 506964 594612 607746 760446 875401 911619 971172 1215492 1520892 1750802 1823238 2239091 2626203 3501604 3646476 4478182 5252406 5368423 6717273 7878609 8407153 8956364 10504812 10736846 13434546 15757218 16105269 16814306 20151819 21473692 25221459 26869092 31514436 32210538 33628612 40303638 48315807 50442918 64421076 75664377 80607276 96631614 100885836 151328754 193263228 302657508 445579109 891158218 1336737327 1782316436 2673474654 4010211981 5346949308 8020423962 16040847924