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1832941925136 = 243472101328493
BaseRepresentation
bin11010101011000011110…
…110100011001100010000
320111020010212121100110000
4122223003312203030100
5220012331113101021
63522013014410000
7246266003204100
oct32530366431420
96436125540400
101832941925136
11647389a28603
122572a0660900
13103acbc69bba
1464a01823200
1532a2baa3b26
hex1aac3da3310

1832941925136 has 300 divisors, whose sum is σ = 6177507691212. Its totient is φ = 523162354176.

The previous prime is 1832941925123. The next prime is 1832941925149. The reversal of 1832941925136 is 6315291492381.

1832941925136 is a `hidden beast` number, since 1 + 8 + 32 + 9 + 4 + 1 + 92 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1832941925123) and next prime (1832941925149).

It can be written as a sum of positive squares in 2 ways, for example, as 320632267536 + 1512309657600 = 566244^2 + 1229760^2 .

It is a super-2 number, since 2×18329419251362 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64315306 + ... + 64343798.

Almost surely, 21832941925136 is an apocalyptic number.

1832941925136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1832941925136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088753845606).

1832941925136 is an abundant number, since it is smaller than the sum of its proper divisors (4344565766076).

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

1832941925136 is a wasteful number, since it uses less digits than its factorization.

1832941925136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29540 (or 29518 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 1832941925136 in words is "one trillion, eight hundred thirty-two billion, nine hundred forty-one million, nine hundred twenty-five thousand, one hundred thirty-six".