Search a number
-
+
1160935992688 = 241959103962297
BaseRepresentation
bin10000111001001101001…
…011010110110101110000
311002222120121212221001211
4100321031023112311300
5123010044103231223
62245154315205504
7146606035055623
oct20711513266560
94088517787054
101160935992688
1140839411422a
12168bb7146894
1385625421694
14402923a5dba
15202ea48ed0d
hex10e4d2d6d70

1160935992688 has 80 divisors (see below), whose sum is σ = 2410185024000. Its totient is φ = 540067447296.

The previous prime is 1160935992683. The next prime is 1160935992739. The reversal of 1160935992688 is 8862995390611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160935992683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18604356 + ... + 18666652.

It is an arithmetic number, because the mean of its divisors is an integer number (30127312800).

Almost surely, 21160935992688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1160935992688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205092512000).

1160935992688 is an abundant number, since it is smaller than the sum of its proper divisors (1249249031312).

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

1160935992688 is a wasteful number, since it uses less digits than its factorization.

1160935992688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63422 (or 63416 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 67.

The spelling of 1160935992688 in words is "one trillion, one hundred sixty billion, nine hundred thirty-five million, nine hundred ninety-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 472 944 1039 1121 2078 2242 4156 4484 8312 8968 16624 17936 19741 39482 61301 62297 78964 122602 124594 157928 245204 249188 315856 490408 498376 980816 996752 1164719 1183643 2329438 2367286 3675523 4658876 4734572 7351046 9317752 9469144 14702092 18635504 18938288 29404184 58808368 64726583 69834937 129453166 139669874 258906332 279339748 517812664 558679496 1035625328 1117358992 1229805077 2459610154 3818868397 4919220308 7637736794 9838440616 15275473588 19676881232 30550947176 61101894352 72558499543 145116999086 290233998172 580467996344 1160935992688