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10440483904 = 261710988037
BaseRepresentation
bin10011011100100110…
…10010010001000000
3222221121121112110001
421232103102101000
5132340230441104
64443555445344
7516503435404
oct115623222100
928847545401
1010440483904
1144784210a4
1220345b6854
13ca5034936
14710865104
154118bbaa4
hex26e4d2440

10440483904 has 56 divisors (see below), whose sum is σ = 22138035480. Its totient is φ = 4868038656.

The previous prime is 10440483883. The next prime is 10440483913. The reversal of 10440483904 is 40938404401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5005845504 + 5434638400 = 70752^2 + 73720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74574 + ... + 162610.

Almost surely, 210440483904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069017740).

10440483904 is an abundant number, since it is smaller than the sum of its proper divisors (11697551576).

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

10440483904 is a wasteful number, since it uses less digits than its factorization.

10440483904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88175 (or 88165 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 10440483904 in words is "ten billion, four hundred forty million, four hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 109 136 218 272 436 544 872 1088 1744 1853 3488 3706 6976 7412 14824 29648 59296 88037 118592 176074 352148 704296 1408592 1496629 2817184 2993258 5634368 5986516 9596033 11973032 19192066 23946064 38384132 47892128 76768264 95784256 153536528 163132561 307073056 326265122 614146112 652530244 1305060488 2610120976 5220241952 10440483904