Search a number
-
+
10688216091 = 372194781421
BaseRepresentation
bin10011111010001000…
…10011110000011011
31000120212202122010020
421331010103300123
5133342140403331
64524325321523
7525602223600
oct117504236033
930525678106
1010688216091
114595245a43
1220a35662a3
131014462027
147357106a7
15428503c96
hex27d113c1b

10688216091 has 48 divisors (see below), whose sum is σ = 17821647360. Its totient is φ = 5662923840.

The previous prime is 10688216069. The next prime is 10688216101. The reversal of 10688216091 is 19061288601.

10688216091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10688216091 - 26 = 10688216027 is a prime.

It is a super-2 number, since 2×106882160912 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10688216041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90561 + ... + 171981.

It is an arithmetic number, because the mean of its divisors is an integer number (371284320).

Almost surely, 210688216091 is an apocalyptic number.

10688216091 is a deficient number, since it is larger than the sum of its proper divisors (7133431269).

10688216091 is a wasteful number, since it uses less digits than its factorization.

10688216091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81504 (or 81497 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 10688216091 in words is "ten billion, six hundred eighty-eight million, two hundred sixteen thousand, ninety-one".

Divisors: 1 3 7 19 21 47 49 57 133 141 147 329 399 893 931 987 2303 2679 2793 6251 6909 18753 43757 81421 131271 244263 569947 1546999 1709841 3826787 3989629 4640997 10828993 11480361 11968887 26787509 32486979 72708953 75802951 80362527 187512563 218126859 227408853 508962671 562537689 1526888013 3562738697 10688216091