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16373505681 = 321321721932
BaseRepresentation
bin11110011111110111…
…11101111010010001
31120021002122021021100
433033323331322101
5232013104140211
611304421015013
71116515334111
oct171773757221
946232567240
1016373505681
116a42465185
12320b554469
13170c27c400
14b147db041
1565c6c4156
hex3cfefde91

16373505681 has 81 divisors (see below), whose sum is σ = 27346607379. Its totient is φ = 9434161152.

The previous prime is 16373505641. The next prime is 16373505691. The reversal of 16373505681 is 18650537361.

The square root of 16373505681 is 127959.

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

16373505681 is a `hidden beast` number, since 1 + 6 + 37 + 3 + 50 + 568 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 13657428225 + 2716077456 = 116865^2 + 52116^2 .

It is not a de Polignac number, because 16373505681 - 211 = 16373503633 is a prime.

It is a super-2 number, since 2×163735056812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16373505641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 84836721 + ... + 84836913.

Almost surely, 216373505681 is an apocalyptic number.

16373505681 is the 127959-th square number.

16373505681 is the 63980-th centered octagonal number.

It is an amenable number.

16373505681 is a deficient number, since it is larger than the sum of its proper divisors (10973101698).

16373505681 is a wasteful number, since it uses less digits than its factorization.

16373505681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 16373505681 in words is "sixteen billion, three hundred seventy-three million, five hundred five thousand, six hundred eighty-one".

Divisors: 1 3 9 13 17 39 51 117 153 169 193 221 289 507 579 663 867 1521 1737 1989 2509 2601 2873 3281 3757 7527 8619 9843 11271 22581 25857 29529 32617 33813 37249 42653 48841 55777 97851 111747 127959 146523 167331 293553 335241 383877 439569 484237 501993 554489 633233 725101 1452711 1663467 1899699 2175303 4358133 4990401 5699097 6295081 6525909 8232029 9426313 10764961 18885243 24696087 28278939 32294883 56655729 74088261 84836817 96884649 107016377 139944493 321049131 419833479 963147393 1259500437 1819278409 5457835227 16373505681