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2352112041636 = 22327210161721397
BaseRepresentation
bin100010001110100100110…
…011010111111010100100
322022212012201202212210100
4202032210303113322210
5302014111140313021
65000313444024100
7331635346322100
oct42164463277244
98285181685710
102352112041636
11827585a23295
1231ba31692030
13140a59878776
1481bb2a24900
15412b5676626
hex223a4cd7ea4

2352112041636 has 216 divisors, whose sum is σ = 6996455529336. Its totient is φ = 664268774400.

The previous prime is 2352112041611. The next prime is 2352112041641. The reversal of 2352112041636 is 6361402112532.

2352112041636 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 1 + 12 + 0 + 4 + 1 + 636 = 666.

2352112041636 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 4 ways, for example, as 998612481636 + 1353499560000 = 999306^2 + 1163400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2352112041636.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109916490 + ... + 109937886.

It is an arithmetic number, because the mean of its divisors is an integer number (32390997821).

Almost surely, 22352112041636 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 2352112041636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498227764668).

2352112041636 is an abundant number, since it is smaller than the sum of its proper divisors (4644343487700).

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

2352112041636 is a wasteful number, since it uses less digits than its factorization.

2352112041636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22139 (or 22127 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2352112041636 in words is "two trillion, three hundred fifty-two billion, one hundred twelve million, forty-one thousand, six hundred thirty-six".