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1838181852 = 2232133927739
BaseRepresentation
bin110110110010000…
…0110110111011100
311202002212022110100
41231210012313130
512231033304402
6502222341100
763360200523
oct15544066734
94662768410
101838181852
11863673261
1243372a790
13233a9b190
141361b54ba
15ab59b71c
hex6d906ddc

1838181852 has 36 divisors (see below), whose sum is σ = 5003940760. Its totient is φ = 565594272.

The previous prime is 1838181817. The next prime is 1838181883. The reversal of 1838181852 is 2581818381.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×18381818523 (a number of 29 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1838181798 and 1838181807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1963402 + ... + 1964337.

Almost surely, 21838181852 is an apocalyptic number.

1838181852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1838181852 is an abundant number, since it is smaller than the sum of its proper divisors (3165758908).

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

1838181852 is a wasteful number, since it uses less digits than its factorization.

1838181852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927762 (or 3927757 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The square root of 1838181852 is about 42874.0230442631. The cubic root of 1838181852 is about 1224.9813912486.

The spelling of 1838181852 in words is "one billion, eight hundred thirty-eight million, one hundred eighty-one thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 3927739 7855478 11783217 15710956 23566434 35349651 47132868 51060607 70699302 102121214 141398604 153181821 204242428 306363642 459545463 612727284 919090926 1838181852