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16928114555641 = 71216723472
BaseRepresentation
bin1111011001010110001001…
…0000010011101011111001
32012221022102102001021220111
43312111202100103223321
54204322234311240031
6100000400220024321
73365005313410522
oct366254220235371
965838372037814
1016928114555641
11543719a396013
121a949473920a1
1395a411830c53
1442747a193849
151e551474b1b1
hexf6562413af9

16928114555641 has 27 divisors (see below), whose sum is σ = 17323248688837. Its totient is φ = 16541943057080.

The previous prime is 16928114555621. The next prime is 16928114555647. The reversal of 16928114555641 is 14655541182961.

The square root of 16928114555641 is 4114379.

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

It is not a de Polignac number, because 16928114555641 - 25 = 16928114555609 is a prime.

It is a super-2 number, since 2×169281145556412 (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 (16928114555647) 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 26 ways as a sum of consecutive naturals, for example, 48784191630 + ... + 48784191976.

Almost surely, 216928114555641 is an apocalyptic number.

16928114555641 is the 4114379-th square number.

16928114555641 is the 2057190-th centered octagonal number.

It is an amenable number.

16928114555641 is a deficient number, since it is larger than the sum of its proper divisors (395134133196).

16928114555641 is an frugal number, since it uses more digits than its factorization.

16928114555641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 585 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 58.

The spelling of 16928114555641 in words is "sixteen trillion, nine hundred twenty-eight billion, one hundred fourteen million, five hundred fifty-five thousand, six hundred forty-one".

Divisors: 1 71 167 347 5041 11857 24637 27889 57949 120409 841847 1749227 1980119 4114379 8549039 9677483 20108303 140588449 292120909 606981769 687101293 1427689513 3358086601 48784191803 101365955423 238424148671 16928114555641