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11408095744 = 2937602201
BaseRepresentation
bin10101001111111100…
…11011101000000000
31002110001100022100121
422213332123220000
5141330433030434
65124003030024
7552463133233
oct124776335000
932401308317
1011408095744
114924633201
12226466b314
1310ca641b16
147a318141a
1546b8017b4
hex2a7f9ba00

11408095744 has 40 divisors (see below), whose sum is σ = 23410000548. Its totient is φ = 5549875200.

The previous prime is 11408095681. The next prime is 11408095757. The reversal of 11408095744 is 44759080411.

11408095744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7623385344 + 3784710400 = 87312^2 + 61520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11408095744.

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 3 ways as a sum of consecutive naturals, for example, 282157 + ... + 320044.

Almost surely, 211408095744 is an apocalyptic number.

It is an amenable number.

11408095744 is an abundant number, since it is smaller than the sum of its proper divisors (12001904804).

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

11408095744 is an frugal number, since it uses more digits than its factorization.

11408095744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602256 (or 602240 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 11408095744 in words is "eleven billion, four hundred eight million, ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 4736 9472 18944 602201 1204402 2408804 4817608 9635216 19270432 22281437 38540864 44562874 77081728 89125748 154163456 178251496 308326912 356502992 713005984 1426011968 2852023936 5704047872 11408095744