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16931216736 = 253278398421
BaseRepresentation
bin11111100010010110…
…11101110101100000
31121200222001221000100
433301023131311200
5234133342413421
611440022422400
71136366652630
oct176113356540
947628057010
1016931216736
1171a9259805
123346291a00
13179a98c655
14b688d66c0
1569163bc26
hex3f12ddd60

16931216736 has 72 divisors (see below), whose sum is σ = 55026460944. Its totient is φ = 4837489920.

The previous prime is 16931216719. The next prime is 16931216747. The reversal of 16931216736 is 63761213961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×169312167362 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16931216691 and 16931216700.

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 11 ways as a sum of consecutive naturals, for example, 4197195 + ... + 4201226.

It is an arithmetic number, because the mean of its divisors is an integer number (764256402).

Almost surely, 216931216736 is an apocalyptic number.

16931216736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16931216736 is an abundant number, since it is smaller than the sum of its proper divisors (38095244208).

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

16931216736 is a wasteful number, since it uses less digits than its factorization.

16931216736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8398444 (or 8398433 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 16931216736 in words is "sixteen billion, nine hundred thirty-one million, two hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 8398421 16796842 25195263 33593684 50390526 58788947 67187368 75585789 100781052 117577894 134374736 151171578 176366841 201562104 235155788 268749472 302343156 352733682 403124208 470311576 529100523 604686312 705467364 806248416 940623152 1058201046 1209372624 1410934728 1881246304 2116402092 2418745248 2821869456 4232804184 5643738912 8465608368 16931216736