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3812358309448 = 2313217479736383
BaseRepresentation
bin110111011110100010010…
…000110100011001001000
3111111110100210202011221111
4313132202100310121020
5444430202211400243
612035212341220104
7542301535645603
oct67364220643110
914443323664844
103812358309448
11123a8a2972257
12516a3b101634
13218671c46500
14d273a6ab33a
156927c98239d
hex377a2434648

3812358309448 has 192 divisors, whose sum is σ = 8456538101760. Its totient is φ = 1604058513408.

The previous prime is 3812358309443. The next prime is 3812358309449. The reversal of 3812358309448 is 8449038532183.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3812358309392 and 3812358309401.

It is not an unprimeable number, because it can be changed into a prime (3812358309443) 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, 104765865 + ... + 104802247.

It is an arithmetic number, because the mean of its divisors is an integer number (44044469280).

Almost surely, 23812358309448 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 3812358309448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228269050880).

3812358309448 is an abundant number, since it is smaller than the sum of its proper divisors (4644179792312).

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

3812358309448 is a wasteful number, since it uses less digits than its factorization.

3812358309448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36576 (or 36559 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 3812358309448 in words is "three trillion, eight hundred twelve billion, three hundred fifty-eight million, three hundred nine thousand, four hundred forty-eight".