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1890744385842 = 236133117917977
BaseRepresentation
bin11011100000111001001…
…001011100000100110010
320200202100020010121000000
4123200321021130010302
5221434221030321332
64004332422010430
7253413260051514
oct33407111340462
96622306117000
101890744385842
11669950a06894
12266532576a16
131093b1347780
14677264b9bb4
15342b1423b7c
hex1b83925c132

1890744385842 has 224 divisors, whose sum is σ = 4753716871680. Its totient is φ = 559824410880.

The previous prime is 1890744385823. The next prime is 1890744385919. The reversal of 1890744385842 is 2485834470981.

It is a happy number.

1890744385842 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 7 + 4 + 43 + 8 + 584 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1890744385842.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 105166758 + ... + 105184734.

It is an arithmetic number, because the mean of its divisors is an integer number (21221950320).

Almost surely, 21890744385842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1890744385842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376858435840).

1890744385842 is an abundant number, since it is smaller than the sum of its proper divisors (2862972485838).

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

1890744385842 is a wasteful number, since it uses less digits than its factorization.

1890744385842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18220 (or 18205 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 1890744385842 in words is "one trillion, eight hundred ninety billion, seven hundred forty-four million, three hundred eighty-five thousand, eight hundred forty-two".