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10961083344 = 2431498315241
BaseRepresentation
bin10100011010101010…
…01101101111010000
31001021220012201121210
422031111031233100
5134422014131334
65011354020120
7535424446131
oct121525155720
931256181553
1010961083344
114715278172
12215aa17640
131058b4cc43
1475da5dc88
154424535e9
hex28d54dbd0

10961083344 has 40 divisors (see below), whose sum is σ = 28319879872. Its totient is φ = 3653210880.

The previous prime is 10961083327. The next prime is 10961083363. The reversal of 10961083344 is 44338016901.

10961083344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×109610833442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 711564 + ... + 726804.

Almost surely, 210961083344 is an apocalyptic number.

It is an amenable number.

10961083344 is an abundant number, since it is smaller than the sum of its proper divisors (17358796528).

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

10961083344 is a wasteful number, since it uses less digits than its factorization.

10961083344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30235 (or 30229 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 10961083344 in words is "ten billion, nine hundred sixty-one million, eighty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 14983 15241 29966 30482 44949 45723 59932 60964 89898 91446 119864 121928 179796 182892 239728 243856 359592 365784 719184 731568 228355903 456711806 685067709 913423612 1370135418 1826847224 2740270836 3653694448 5480541672 10961083344