Search a number
-
+
10115655056 = 2413433832953
BaseRepresentation
bin10010110101111000…
…01010010110010000
3222002222101112000222
421122330022112100
5131204101430211
64351433332212
7505450435463
oct113274122620
928088345028
1010115655056
114321029401
121b63867068
13c52952810
146bd66b2da
153e31061db
hex25af0a590

10115655056 has 80 divisors (see below), whose sum is σ = 21661280256. Its totient is φ = 4546741248.

The previous prime is 10115655031. The next prime is 10115655059. The reversal of 10115655056 is 65055651101.

It is not an unprimeable number, because it can be changed into a prime (10115655059) 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, 3424076 + ... + 3427028.

Almost surely, 210115655056 is an apocalyptic number.

10115655056 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 10115655056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830640128).

10115655056 is an abundant number, since it is smaller than the sum of its proper divisors (11545625200).

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

10115655056 is a wasteful number, since it uses less digits than its factorization.

10115655056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 10115655056 in words is "ten billion, one hundred fifteen million, six hundred fifty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 383 559 688 766 1118 1532 2236 2953 3064 4472 4979 5906 6128 8944 9958 11812 16469 19916 23624 32938 38389 39832 47248 65876 76778 79664 126979 131752 153556 214097 253958 263504 307112 428194 507916 614224 856388 1015832 1130999 1650727 1712776 2031664 2261998 3301454 3425552 4523996 6602908 9047992 13205816 14702987 18095984 26411632 29405974 48632957 58811948 97265914 117623896 194531828 235247792 389063656 632228441 778127312 1264456882 2528913764 5057827528 10115655056