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42148919592 = 2336131573541
BaseRepresentation
bin100111010000010001…
…010111100100101000
311000210102121222000000
4213100101113210220
51142310110411332
631210221343000
73021326622333
oct472021274450
9130712558000
1042148919592
1116969a6a14a
128203707a60
133c8933ab10
14207bb4d61a
15116a4b3b7c
hex9d0457928

42148919592 has 224 divisors, whose sum is σ = 128453251080. Its totient is φ = 12882654720.

The previous prime is 42148919573. The next prime is 42148919633. The reversal of 42148919592 is 29591984124.

42148919592 is a `hidden beast` number, since 4 + 2 + 1 + 48 + 9 + 1 + 9 + 592 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23172755076 + 18976164516 = 152226^2 + 137754^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11901342 + ... + 11904882.

Almost surely, 242148919592 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 42148919592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64226625540).

42148919592 is an abundant number, since it is smaller than the sum of its proper divisors (86304331488).

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

42148919592 is a wasteful number, since it uses less digits than its factorization.

42148919592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3716 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 42148919592 in words is "forty-two billion, one hundred forty-eight million, nine hundred nineteen thousand, five hundred ninety-two".