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1804137411552 = 2537219238211069
BaseRepresentation
bin11010010000001110111…
…110000011001111100000
320101110210102211110010120
4122100032332003033200
5214024333134132202
63500450450000240
7244226130654300
oct32201676031740
96343712743116
101804137411552
11636148598183
122517a1b76080
1310118b478a18
146346c091600
1531de2dc30bc
hex1a40ef833e0

1804137411552 has 576 divisors, whose sum is σ = 6064182028800. Its totient is φ = 466100490240.

The previous prime is 1804137411509. The next prime is 1804137411563. The reversal of 1804137411552 is 2551147314081.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1687686474 + ... + 1687687542.

It is an arithmetic number, because the mean of its divisors is an integer number (10528093800).

Almost surely, 21804137411552 is an apocalyptic number.

1804137411552 is a gapful number since it is divisible by the number (12) 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 1804137411552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032091014400).

1804137411552 is an abundant number, since it is smaller than the sum of its proper divisors (4260044617248).

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

1804137411552 is a wasteful number, since it uses less digits than its factorization.

1804137411552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 1804137411552 in words is "one trillion, eight hundred four billion, one hundred thirty-seven million, four hundred eleven thousand, five hundred fifty-two".