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42422849280 = 28345758453
BaseRepresentation
bin100111100000100110…
…010100111100000000
311001111112002000220000
4213200212110330000
51143340222134110
631253324520000
73031164161220
oct474046247400
9131445060800
1042422849280
1116a9a657619
12827b3b0000
13400100b4a6
1420a6298080
1511845731c0
hex9e0994f00

42422849280 has 360 divisors, whose sum is σ = 173484925152. Its totient is φ = 9696485376.

The previous prime is 42422849239. The next prime is 42422849297. The reversal of 42422849280 is 8294822424.

42422849280 is a `hidden beast` number, since 42 + 42 + 2 + 8 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 696534 + ... + 754986.

Almost surely, 242422849280 is an apocalyptic number.

42422849280 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 42422849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86742462576).

42422849280 is an abundant number, since it is smaller than the sum of its proper divisors (131062075872).

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

42422849280 is an equidigital number, since it uses as much as digits as its factorization.

42422849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58493 (or 58470 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 42422849280 in words is "forty-two billion, four hundred twenty-two million, eight hundred forty-nine thousand, two hundred eighty".