Search a number
-
+
1616081688 = 2332132836101
BaseRepresentation
bin110000001010011…
…0111001100011000
311011121221110022100
41200110313030120
511302204103223
6424210123400
755022316264
oct14024671430
94147843270
101616081688
1175a266101
12391280560
131c9a76870
141148bd0a4
1596d29043
hex60537318

1616081688 has 96 divisors (see below), whose sum is σ = 4731002640. Its totient is φ = 495417600.

The previous prime is 1616081627. The next prime is 1616081713. The reversal of 1616081688 is 8861806161.

It is a super-2 number, since 2×16160816882 = 5223440044577858688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261838 + ... + 267938.

Almost surely, 21616081688 is an apocalyptic number.

1616081688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1616081688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365501320).

1616081688 is an abundant number, since it is smaller than the sum of its proper divisors (3114920952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1616081688 is a wasteful number, since it uses less digits than its factorization.

1616081688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1616081688 is about 40200.5185041188. The cubic root of 1616081688 is about 1173.5126345164.

The spelling of 1616081688 in words is "one billion, six hundred sixteen million, eighty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 283 312 468 566 849 936 1132 1698 2264 2547 3396 3679 5094 6101 6792 7358 10188 11037 12202 14716 18303 20376 22074 24404 29432 33111 36606 44148 48808 54909 66222 73212 79313 88296 109818 132444 146424 158626 219636 237939 264888 317252 439272 475878 634504 713817 951756 1427634 1726583 1903512 2855268 3453166 5179749 5710536 6906332 10359498 13812664 15539247 20718996 22445579 31078494 41437992 44891158 62156988 67336737 89782316 124313976 134673474 179564632 202010211 269346948 404020422 538693896 808040844 1616081688