Search a number
-
+
100056857056 = 251311313915313
BaseRepresentation
bin101110100101111011…
…0100111100111100000
3100120021010121222110121
41131023312213213200
53114404023411211
6113544313410024
710141334152342
oct1351366474740
9316233558417
10100056857056
113948553a702
1217484a09914
139587528c80
144bb2821292
15290921b271
hex174bda79e0

100056857056 has 96 divisors (see below), whose sum is σ = 215570890080. Its totient is φ = 45439156224.

The previous prime is 100056857039. The next prime is 100056857071. The reversal of 100056857056 is 650758650001.

It is a super-2 number, since 2×1000568570562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6526456 + ... + 6541768.

It is an arithmetic number, because the mean of its divisors is an integer number (2245530105).

Almost surely, 2100056857056 is an apocalyptic number.

100056857056 is a gapful number since it is divisible by the number (16) 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 100056857056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107785445040).

100056857056 is an abundant number, since it is smaller than the sum of its proper divisors (115514033024).

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

100056857056 is a wasteful number, since it uses less digits than its factorization.

100056857056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 100056857056 in words is "one hundred billion, fifty-six million, eight hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 139 208 226 278 416 452 556 904 1112 1469 1807 1808 2224 2938 3614 3616 4448 5876 7228 11752 14456 15313 15707 23504 28912 30626 31414 47008 57824 61252 62828 122504 125656 199069 204191 245008 251312 398138 408382 490016 502624 796276 816764 1592552 1633528 1730369 2128507 3185104 3267056 3460738 4257014 6370208 6534112 6921476 8514028 13842952 17028056 22494797 27670591 27685904 34056112 44989594 55341182 55371808 68112224 89979188 110682364 179958376 221364728 240521291 359916752 442729456 481042582 719833504 885458912 962085164 1924170328 3126776783 3848340656 6253553566 7696681312 12507107132 25014214264 50028428528 100056857056