Search a number
-
+
159721921601 = 11217229239659
BaseRepresentation
bin1001010011000000101…
…0110001110001000001
3120021021021222022010222
42110300022301301001
510104102302442401
6201213015032425
714353025635004
oct2246012616101
9507237868128
10159721921601
1161812951800
1226b5666b715
13120a5775aa8
147a32a0953b
15424c35dc1b
hex25302b1c41

159721921601 has 72 divisors (see below), whose sum is σ = 194028912000. Its totient is φ = 131196567040.

The previous prime is 159721921561. The next prime is 159721921603. The reversal of 159721921601 is 106129127951.

It is not a de Polignac number, because 159721921601 - 218 = 159721659457 is a prime.

It is a super-2 number, since 2×1597219216012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159721921603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 242369810 + ... + 242370468.

It is an arithmetic number, because the mean of its divisors is an integer number (2694846000).

Almost surely, 2159721921601 is an apocalyptic number.

159721921601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

159721921601 is a deficient number, since it is larger than the sum of its proper divisors (34306990399).

159721921601 is a wasteful number, since it uses less digits than its factorization.

159721921601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 44.

The spelling of 159721921601 in words is "one hundred fifty-nine billion, seven hundred twenty-one million, nine hundred twenty-one thousand, six hundred one".

Divisors: 1 11 17 29 121 187 239 289 319 493 659 2057 2629 3179 3509 4063 5423 6931 7249 8381 11203 19111 28919 34969 44693 59653 69071 76241 79739 92191 117827 123233 157501 190451 210221 324887 491623 759781 838651 1014101 1296097 1355563 1732511 2003059 2094961 2312431 2677517 3573757 4567529 5523079 8357591 14257067 19057621 22033649 23044571 29452687 39311327 45517789 50242819 60753869 77647993 242370139 323979557 500695679 552671009 668292559 854127923 1320015881 5507652469 9395407153 14520174691 159721921601