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1604042463744 = 29327333114929
BaseRepresentation
bin10111010101111000011…
…000011001101000000000
312200100022110212220201200
4113111320120121220000
5202240034332314434
63224515324501200
7223613444656440
oct27257030315000
95610273786650
101604042463744
115692a8176316
1221aa5a6aa800
13b8350594816
14578c9536120
152bad1446199
hex17578619a00

1604042463744 has 240 divisors, whose sum is σ = 5292657289920. Its totient is φ = 458129571840.

The previous prime is 1604042463743. The next prime is 1604042463781. The reversal of 1604042463744 is 4473642404061.

1604042463744 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 0 + 4 + 2 + 4 + 637 + 4 + 4 = 666.

It is a super-3 number, since 3×16040424637443 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1604042463744.

It is not an unprimeable number, because it can be changed into a prime (1604042463743) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 107437272 + ... + 107452200.

It is an arithmetic number, because the mean of its divisors is an integer number (22052738708).

Almost surely, 21604042463744 is an apocalyptic number.

1604042463744 is a gapful number since it is divisible by the number (14) 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 1604042463744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646328644960).

1604042463744 is an abundant number, since it is smaller than the sum of its proper divisors (3688614826176).

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

1604042463744 is a wasteful number, since it uses less digits than its factorization.

1604042463744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18291 (or 18272 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 1604042463744 in words is "one trillion, six hundred four billion, forty-two million, four hundred sixty-three thousand, seven hundred forty-four".