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16124706051364 = 22101210321932
BaseRepresentation
bin1110101010100101001101…
…1000000101010100100100
32010002111200111012121001201
43222221103120011110210
54103141344222120424
654143330535332244
73252654150661321
oct352512330052444
963074614177051
1016124706051364
1151574a4217639
1219850ab521084
138cc726671951
143da623289b48
151ce6920c1d44
hexeaa53605524

16124706051364 has 81 divisors (see below), whose sum is σ = 28929670197939. Its totient is φ = 7864068787200.

The previous prime is 16124706051353. The next prime is 16124706051367. The reversal of 16124706051364 is 46315060742161.

It is a happy number.

The square root of 16124706051364 is 4015558.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1550697372900 + 14574008678464 = 1245270^2 + 3817592^2 .

It is a super-2 number, since 2×161247060513642 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16124706051367) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 83547699652 + ... + 83547699844.

Almost surely, 216124706051364 is an apocalyptic number.

16124706051364 is the 4015558-th square number.

It is an amenable number.

16124706051364 is a deficient number, since it is larger than the sum of its proper divisors (12804964146575).

16124706051364 is an equidigital number, since it uses as much as digits as its factorization.

16124706051364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 16124706051364 in words is "sixteen trillion, one hundred twenty-four billion, seven hundred six million, fifty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 101 103 193 202 206 386 404 412 772 10201 10403 10609 19493 19879 20402 20806 21218 37249 38986 39758 40804 41612 42436 74498 77972 79516 148996 1050703 1071509 1968793 2007779 2047537 2101406 2143018 3762149 3836647 3937586 4015558 4095074 4202812 4286036 7524298 7673294 7875172 8031116 8190148 15048596 15346588 108222409 202785679 206801237 216444818 379977049 387501347 395174641 405571358 413602474 432889636 759954098 775002694 790349282 811142716 827204948 1519908196 1550005388 1580698564 20886924937 39137636047 39912638741 41773849874 78275272094 79825277482 83547699748 156550544188 159650554964 4031176512841 8062353025682 16124706051364