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42209180496 = 24327537379137
BaseRepresentation
bin100111010011110111…
…001111101101010000
311000221122000112102100
4213103313033231100
51142421022233441
631220213120400
73022661054160
oct472367175520
9130848015370
1042209180496
111699aa8904a
12821b929100
133c98979762
142085b585a0
151170918cb6
hex9d3dcfb50

42209180496 has 480 divisors, whose sum is σ = 142229468160. Its totient is φ = 11438309376.

The previous prime is 42209180483. The next prime is 42209180551. The reversal of 42209180496 is 69408190224.

42209180496 is a `hidden beast` number, since 422 + 0 + 9 + 180 + 49 + 6 = 666.

It is a super-2 number, since 2×422091804962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308096140 + ... + 308096276.

It is an arithmetic number, because the mean of its divisors is an integer number (296311392).

Almost surely, 242209180496 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 42209180496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71114734080).

42209180496 is an abundant number, since it is smaller than the sum of its proper divisors (100020287664).

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

42209180496 is a wasteful number, since it uses less digits than its factorization.

42209180496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 42209180496 in words is "forty-two billion, two hundred nine million, one hundred eighty thousand, four hundred ninety-six".