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16459427296 = 2513535912653
BaseRepresentation
bin11110101010000111…
…01110110111100000
31120111002022112120101
433111003232313200
5232202103133141
611321130352144
71121610552334
oct172503566740
946432275511
1016459427296
116a86a10384
12323428b654
131724003bc0
14b21da57c4
15664ee7531
hex3d50eede0

16459427296 has 96 divisors (see below), whose sum is σ = 36161082720. Its totient is φ = 7326418944.

The previous prime is 16459427287. The next prime is 16459427317. The reversal of 16459427296 is 69272495461.

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 15 ways as a sum of consecutive naturals, for example, 1294506 + ... + 1307158.

It is an arithmetic number, because the mean of its divisors is an integer number (376677945).

Almost surely, 216459427296 is an apocalyptic number.

16459427296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16459427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18080541360).

16459427296 is an abundant number, since it is smaller than the sum of its proper divisors (19701655424).

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

16459427296 is a wasteful number, since it uses less digits than its factorization.

16459427296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12788 (or 12780 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

It can be divided in two parts, 164594 and 27296, that added together give a triangular number (191890 = T619).

The spelling of 16459427296 in words is "sixteen billion, four hundred fifty-nine million, four hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 53 59 104 106 118 208 212 236 416 424 472 689 767 848 944 1378 1534 1696 1888 2756 3068 3127 5512 6136 6254 11024 12272 12508 12653 22048 24544 25016 25306 40651 50032 50612 81302 100064 101224 162604 164489 202448 325208 328978 404896 650416 657956 670609 746527 1300832 1315912 1341218 1493054 2631824 2682436 2986108 5263648 5364872 5972216 8717917 9704851 10729744 11944432 17435834 19409702 21459488 23888864 34871668 38819404 39565931 69743336 77638808 79131862 139486672 155277616 158263724 278973344 310555232 316527448 514357103 633054896 1028714206 1266109792 2057428412 4114856824 8229713648 16459427296