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14377558328 = 2371072818539
BaseRepresentation
bin11010110001111100…
…00010000100111000
31101002222220122020022
431120332002010320
5213421123331303
610334400550012
71016201141450
oct153076020470
941088818208
1014377558328
116108836411
122953022308
1314818c3883
149a56b8d60
15592362438
hex358f82138

14377558328 has 64 divisors (see below), whose sum is σ = 31211308800. Its totient is φ = 6081788160.

The previous prime is 14377558271. The next prime is 14377558333. The reversal of 14377558328 is 82385577341.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14377558328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1679483 + ... + 1688021.

It is an arithmetic number, because the mean of its divisors is an integer number (487676700).

Almost surely, 214377558328 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 14377558328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605654400).

14377558328 is an abundant number, since it is smaller than the sum of its proper divisors (16833750472).

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

14377558328 is a wasteful number, since it uses less digits than its factorization.

14377558328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940 (or 8936 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 53.

The spelling of 14377558328 in words is "fourteen billion, three hundred seventy-seven million, five hundred fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 107 214 281 428 562 749 856 1124 1498 1967 2248 2996 3934 5992 7868 8539 15736 17078 30067 34156 59773 60134 68312 119546 120268 210469 239092 240536 420938 478184 841876 913673 1683752 1827346 2399459 3654692 4798918 6395711 7309384 9597836 12791422 16796213 19195672 25582844 33592426 51165688 67184852 134369704 256742113 513484226 1026968452 1797194791 2053936904 3594389582 7188779164 14377558328