Search a number
-
+
10646221663 = 7112411132713
BaseRepresentation
bin10011110101001000…
…00111001101011111
31000110221202002121001
421322210013031133
5133300413043123
64520225251131
7524552251060
oct117244071537
930427662531
1010646221663
114573572a00
122091493aa7
13100884a75c
1472dcdc567
154249ab0ad
hex27a90735f

10646221663 has 48 divisors (see below), whose sum is σ = 13826288448. Its totient is φ = 8018841600.

The previous prime is 10646221643. The next prime is 10646221667. The reversal of 10646221663 is 36612264601.

It is not a de Polignac number, because 10646221663 - 221 = 10644124511 is a prime.

It is a super-2 number, since 2×106462216632 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10646221667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3922795 + ... + 3925507.

It is an arithmetic number, because the mean of its divisors is an integer number (288047676).

Almost surely, 210646221663 is an apocalyptic number.

10646221663 is a deficient number, since it is larger than the sum of its proper divisors (3180066785).

10646221663 is a wasteful number, since it uses less digits than its factorization.

10646221663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 10646221663 in words is "ten billion, six hundred forty-six million, two hundred twenty-one thousand, six hundred sixty-three".

Divisors: 1 7 11 41 77 113 121 287 451 791 847 1243 2713 3157 4633 4961 8701 13673 18991 29843 32431 34727 50963 95711 111233 208901 306569 328273 356741 560593 778631 1223563 2145983 2297911 3372259 3924151 8564941 12569329 13459193 23605813 37094849 87985303 94214351 138262619 259663943 967838333 1520888809 10646221663