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168557050249 = 728926592
BaseRepresentation
bin1001110011111011001…
…0000111100110001001
3121010002000211100011221
42130332302013212021
510230201101101444
6205233430322041
715115000200400
oct2347662074611
9533060740157
10168557050249
1165537073715
12288014b9321
1312b8301b273
148230184637
1545b7d1ea84
hex273ec87989

168557050249 has 27 divisors (see below), whose sum is σ = 198605804007. Its totient is φ = 142637355168.

The previous prime is 168557050241. The next prime is 168557050289. The reversal of 168557050249 is 942050755861.

It is a happy number.

The square root of 168557050249 is 410557.

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

It can be written as a sum of positive squares in only one way, i.e., 32366528649 + 136190521600 = 179907^2 + 369040^2 .

It is not a de Polignac number, because 168557050249 - 23 = 168557050241 is a prime.

It is a super-2 number, since 2×1685570502492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 168557050196 and 168557050205.

It is not an unprimeable number, because it can be changed into a prime (168557050241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 255776682 + ... + 255777340.

Almost surely, 2168557050249 is an apocalyptic number.

168557050249 is the 410557-th square number.

168557050249 is the 205279-th centered octagonal number.

It is an amenable number.

168557050249 is a deficient number, since it is larger than the sum of its proper divisors (30048753758).

168557050249 is an frugal number, since it uses more digits than its factorization.

168557050249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 168557050249 in words is "one hundred sixty-eight billion, five hundred fifty-seven million, fifty thousand, two hundred forty-nine".

Divisors: 1 7 49 89 623 659 4361 4613 7921 32291 55447 58651 388129 410557 434281 2873899 3039967 5219939 21279769 36539573 38651009 255777011 270557063 1893899441 3439939801 24079578607 168557050249