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3813507445456 = 24340429700129
BaseRepresentation
bin110111011111100110110…
…000011011001011010000
3111111120022220001100012101
4313133212300123023100
5444440030401223311
612035522351210144
7542342161310422
oct67374660331320
914446286040171
103813507445456
111240332598135
125170bbb16954
132187c603c247
14d280915a812
15692e87c1ec1
hex377e6c1b2d0

3813507445456 has 20 divisors (see below), whose sum is σ = 7388702932900. Its totient is φ = 1906745398272.

The previous prime is 3813507445421. The next prime is 3813507445483. The reversal of 3813507445456 is 6545447053183.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2400689941056 + 1412817504400 = 1549416^2 + 1188620^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3813507445397 and 3813507445406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5096800 + ... + 5796928.

It is an arithmetic number, because the mean of its divisors is an integer number (369435146645).

Almost surely, 23813507445456 is an apocalyptic number.

It is an amenable number.

3813507445456 is a deficient number, since it is larger than the sum of its proper divisors (3575195487444).

3813507445456 is a wasteful number, since it uses less digits than its factorization.

3813507445456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040566 (or 1040560 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 55.

The spelling of 3813507445456 in words is "three trillion, eight hundred thirteen billion, five hundred seven million, four hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 340429 680858 700129 1361716 1400258 2723432 2800516 5446864 5601032 11202064 238344215341 476688430682 953376861364 1906753722728 3813507445456