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469085297243904 = 28361123293747197
BaseRepresentation
bin110101010101000010110111…
…0100000101111011100000000
32021111220010010220021102000000
41222222011232200233130000
5442440443142043301104
64341354451032000000
7200543202646305615
oct15252055640573400
92244803126242000
10469085297243904
11126512a592a1730
124473ba58b30000
13171987276c3a83
1483b9bc715a50c
153936eb994a639
hex1aaa16e82f700

469085297243904 has 4032 divisors, whose sum is σ = 1742789075005440. Its totient is φ = 124377938657280.

The previous prime is 469085297243887. The next prime is 469085297243911. The reversal of 469085297243904 is 409342792580964.

469085297243904 is a `hidden beast` number, since 4 + 6 + 9 + 0 + 8 + 5 + 297 + 243 + 90 + 4 = 666.

It is a super-2 number, since 2×4690852972439042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2381143640734 + ... + 2381143640930.

It is an arithmetic number, because the mean of its divisors is an integer number (432239353920).

Almost surely, 2469085297243904 is an apocalyptic number.

469085297243904 is a gapful number since it is divisible by the number (44) 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 469085297243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871394537502720).

469085297243904 is an abundant number, since it is smaller than the sum of its proper divisors (1273703777761536).

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

469085297243904 is a wasteful number, since it uses less digits than its factorization.

469085297243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 469085297243904 in words is "four hundred sixty-nine trillion, eighty-five billion, two hundred ninety-seven million, two hundred forty-three thousand, nine hundred four".