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42422267160 = 233357131725391
BaseRepresentation
bin100111100000100100…
…000110110100011000
311001111110222110101000
4213200210012310120
51143340100022120
631253304225000
73031156215120
oct474044066430
9131443873330
1042422267160
1116a9a29a229
12827b16b160
134000b66540
1420a6185c80
1511844aa990
hex9e0906d18

42422267160 has 512 divisors, whose sum is σ = 184284979200. Its totient is φ = 8423792640.

The previous prime is 42422267089. The next prime is 42422267219. The reversal of 42422267160 is 6176222424.

42422267160 is a `hidden beast` number, since 424 + 2 + 226 + 7 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1658065 + ... + 1683455.

It is an arithmetic number, because the mean of its divisors is an integer number (359931600).

Almost surely, 242422267160 is an apocalyptic number.

42422267160 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 42422267160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92142489600).

42422267160 is an abundant number, since it is smaller than the sum of its proper divisors (141862712040).

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

42422267160 is a wasteful number, since it uses less digits than its factorization.

42422267160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25448 (or 25438 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 42422267160 its reverse (6176222424), we get a palindrome (48598489584).

The spelling of 42422267160 in words is "forty-two billion, four hundred twenty-two million, two hundred sixty-seven thousand, one hundred sixty".