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42493430980 = 225711213214843
BaseRepresentation
bin100111100100110011…
…100100110011000100
311001200102212221210001
4213210303210303010
51144011304242410
631304325411044
73033012126610
oct474463446304
9131612787701
1042493430980
1117026485700
12829ab69a84
134012821a00
1420b17cc340
15118a86633a
hex9e4ce4cc4

42493430980 has 216 divisors, whose sum is σ = 121392806976. Its totient is φ = 12225058560.

The previous prime is 42493430963. The next prime is 42493431007. The reversal of 42493430980 is 8903439424.

42493430980 = T49 + T50 + ... + T6340.

It is a self number, because there is not a number n which added to its sum of digits gives 42493430980.

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 71 ways as a sum of consecutive naturals, for example, 2855439 + ... + 2870281.

It is an arithmetic number, because the mean of its divisors is an integer number (562003736).

Almost surely, 242493430980 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 42493430980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60696403488).

42493430980 is an abundant number, since it is smaller than the sum of its proper divisors (78899375996).

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

42493430980 is a wasteful number, since it uses less digits than its factorization.

42493430980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14907 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 42493430980 in words is "forty-two billion, four hundred ninety-three million, four hundred thirty thousand, nine hundred eighty".