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485691934440960 = 293351323159127179
BaseRepresentation
bin110111001101110111111011…
…1001110001111111000000000
32100200200200202222221210221000
41232123233313032033320000
51002130034040204102320
64440551443332332000
7204206040623402232
oct15633576716177000
92320620688853830
10485691934440960
1113083587a036015
1246582426174000
1317b01725925a00
1487d18879d8252
153b23e661e5c90
hex1b9bbf738fe00

485691934440960 has 3840 divisors, whose sum is σ = 1987566501888000. Its totient is φ = 112211367690240.

The previous prime is 485691934440953. The next prime is 485691934441037. The reversal of 485691934440960 is 69044439196584.

It is a happy number.

485691934440960 is a `hidden beast` number, since 4 + 8 + 5 + 6 + 9 + 1 + 93 + 4 + 440 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2713362762151 + ... + 2713362762329.

It is an arithmetic number, because the mean of its divisors is an integer number (517595443200).

Almost surely, 2485691934440960 is an apocalyptic number.

485691934440960 is a gapful number since it is divisible by the number (40) 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 485691934440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993783250944000).

485691934440960 is an abundant number, since it is smaller than the sum of its proper divisors (1501874567447040).

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

485691934440960 is a wasteful number, since it uses less digits than its factorization.

485691934440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 485691934440960 in words is "four hundred eighty-five trillion, six hundred ninety-one billion, nine hundred thirty-four million, four hundred forty thousand, nine hundred sixty".