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16434116501730 = 2356197726333491
BaseRepresentation
bin1110111100100101110110…
…1011010010000011100010
32011012002022211120000212120
43233021131223102003202
54123224032311023410
654541421235205110
73314216504263224
oct357113553220342
964162284500776
1016434116501730
115266740368544
121a15060446796
13922965cb0985
1440b5b6128414
151d77509d7570
hexef25dad20e2

16434116501730 has 128 divisors (see below), whose sum is σ = 40156240478976. Its totient is φ = 4303307366400.

The previous prime is 16434116501723. The next prime is 16434116501731. The reversal of 16434116501730 is 3710561143461.

It is not an unprimeable number, because it can be changed into a prime (16434116501731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4707565285 + ... + 4707568775.

It is an arithmetic number, because the mean of its divisors is an integer number (313720628742).

Almost surely, 216434116501730 is an apocalyptic number.

16434116501730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16434116501730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20078120239488).

16434116501730 is an abundant number, since it is smaller than the sum of its proper divisors (23722123977246).

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

16434116501730 is a wasteful number, since it uses less digits than its factorization.

16434116501730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 16434116501730 in words is "sixteen trillion, four hundred thirty-four billion, one hundred sixteen million, five hundred one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 977 1830 1954 2633 2931 3491 4885 5266 5862 6982 7899 9770 10473 13165 14655 15798 17455 20946 26330 29310 34910 39495 52365 59597 78990 104730 119194 160613 178791 212951 297985 321226 357582 425902 481839 595970 638853 803065 893955 963678 1064755 1277706 1606130 1787910 2129510 2409195 2572441 3194265 3410707 4818390 5144882 6388530 6821414 7717323 9191803 10232121 12862205 15434646 17053535 18383606 20464242 25724410 27575409 34107070 38586615 45959015 51160605 55150818 77173230 91918030 102321210 137877045 156918901 208053127 275754090 313837802 416106254 470756703 560699983 624159381 784594505 941513406 1040265635 1121399966 1248318762 1569189010 1682099949 2080531270 2353783515 2803499915 3120796905 3364199898 4707567030 5606999830 6241593810 8410499745 8980391531 16820999490 17960783062 26941174593 44901957655 53882349186 89803915310 134705872965 269411745930 547803883391 1095607766782 1643411650173 2739019416955 3286823300346 5478038833910 8217058250865 16434116501730