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16493858442 = 234617012381
BaseRepresentation
bin11110101110001110…
…00100111010001010
31120120111002211020000
433113013010322022
5232234411432232
611324400343430
71122506324565
oct172707047212
946514084200
1016493858442
116aa4397a76
123243914b76
13172b19aa69
14b267a94dc
1566804927c
hex3d71c4e8a

16493858442 has 80 divisors (see below), whose sum is σ = 37633722984. Its totient is φ = 5397840000.

The previous prime is 16493858441. The next prime is 16493858443. The reversal of 16493858442 is 24485839461.

16493858442 is a `hidden beast` number, since 1 + 64 + 93 + 8 + 58 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (16493858441) and next prime (16493858443).

It can be written as a sum of positive squares in 4 ways, for example, as 6854349681 + 9639508761 = 82791^2 + 98181^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16493858441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6926092 + ... + 6928472.

Almost surely, 216493858442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16493858442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816861492).

16493858442 is an abundant number, since it is smaller than the sum of its proper divisors (21139864542).

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

16493858442 is a wasteful number, since it uses less digits than its factorization.

16493858442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3148 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 16493858442 in words is "sixteen billion, four hundred ninety-three million, eight hundred fifty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 701 1098 1402 1647 2103 2381 3294 4206 4762 4941 6309 7143 9882 12618 14286 18927 21429 37854 42761 42858 56781 64287 85522 113562 128283 128574 145241 192861 256566 290482 384849 385722 435723 769698 871446 1154547 1307169 1669081 2309094 2614338 3338162 3463641 3921507 5007243 6927282 7843014 10014486 11764521 15021729 23529042 30043458 45065187 90130374 101813941 135195561 203627882 270391122 305441823 610883646 916325469 1832650938 2748976407 5497952814 8246929221 16493858442