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1838161348320 = 2535112912004711
BaseRepresentation
bin11010101111111010111…
…101000100011011100000
320111201121121212112000210
4122233322331010123200
5220104023301121240
63524234545014120
7246542231443233
oct32577275043340
96451547775023
101838161348320
11649618184490
122582b8624340
131044513c379b
1464d78ac141a
1532c34dee780
hex1abfaf446e0

1838161348320 has 192 divisors, whose sum is σ = 6534404835840. Its totient is φ = 430248806400.

The previous prime is 1838161348313. The next prime is 1838161348367. The reversal of 1838161348320 is 238431618381.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1838161348320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5849236 + ... + 6155475.

It is an arithmetic number, because the mean of its divisors is an integer number (34033358520).

Almost surely, 21838161348320 is an apocalyptic number.

1838161348320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1838161348320 is an abundant number, since it is smaller than the sum of its proper divisors (4696243487520).

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

1838161348320 is a wasteful number, since it uses less digits than its factorization.

1838161348320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004769 (or 12004761 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 1838161348320 in words is "one trillion, eight hundred thirty-eight billion, one hundred sixty-one million, three hundred forty-eight thousand, three hundred twenty".