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427921776060 = 22351719316710631
BaseRepresentation
bin1100011101000100010…
…00000001110110111100
31111220112121022120001220
412032202020001312330
524002340433313220
6524330132433340
742626205036642
oct6164210016674
91456477276056
10427921776060
11155531760a89
126ab26178850
133147829b21c
14169d65cd192
15b1e7d5c540
hex63a2201dbc

427921776060 has 384 divisors, whose sum is σ = 1399218831360. Its totient is φ = 96986419200.

The previous prime is 427921775929. The next prime is 427921776119. The reversal of 427921776060 is 60677129724.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 427921775994 and 427921776012.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 40246945 + ... + 40257575.

It is an arithmetic number, because the mean of its divisors is an integer number (3643799040).

Almost surely, 2427921776060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427921776060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699609415680).

427921776060 is an abundant number, since it is smaller than the sum of its proper divisors (971297055300).

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

427921776060 is a wasteful number, since it uses less digits than its factorization.

427921776060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10777 (or 10775 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 427921776060 in words is "four hundred twenty-seven billion, nine hundred twenty-one million, seven hundred seventy-six thousand, sixty".