Search a number
-
+
424374316536 = 233194331876791
BaseRepresentation
bin1100010110011101010…
…11100010110111111000
31111120101101010221110010
412023032223202313320
523423104311112121
6522542130221520
742442251113232
oct6131653426770
91446341127403
10424374316536
11153a81269155
126a2b61248a0
1331031355951
141677b3d9252
15b08b6c8376
hex62ceae2df8

424374316536 has 128 divisors (see below), whose sum is σ = 1143272908800. Its totient is φ = 130836021120.

The previous prime is 424374316507. The next prime is 424374316537. The reversal of 424374316536 is 635613473424.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424374316537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62487301 + ... + 62494091.

It is an arithmetic number, because the mean of its divisors is an integer number (8931819600).

Almost surely, 2424374316536 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 424374316536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571636454400).

424374316536 is an abundant number, since it is smaller than the sum of its proper divisors (718898592264).

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

424374316536 is a wasteful number, since it uses less digits than its factorization.

424374316536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049 (or 10045 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 48.

The spelling of 424374316536 in words is "four hundred twenty-four billion, three hundred seventy-four million, three hundred sixteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2451 3187 3268 4902 6374 6536 6791 9561 9804 12748 13582 19122 19608 20373 25496 27164 38244 40746 54328 60553 76488 81492 121106 129029 137041 162984 181659 242212 258058 274082 292013 363318 387087 411123 484424 516116 548164 584026 726636 774174 822246 876039 1032232 1096328 1168052 1453272 1548348 1644492 1752078 2336104 2603779 3096696 3288984 3504156 5207558 5548247 7008312 7811337 10415116 11096494 15622674 16644741 20830232 21642917 22192988 31245348 33289482 43285834 44385976 62490696 64928751 66578964 86571668 129857502 133157928 173143336 259715004 411215423 519430008 822430846 930645431 1233646269 1644861692 1861290862 2467292538 2791936293 3289723384 3722581724 4934585076 5583872586 7445163448 9869170152 11167745172 17682263189 22335490344 35364526378 53046789567 70729052756 106093579134 141458105512 212187158268 424374316536