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42171886848 = 2837213219349
BaseRepresentation
bin100111010001101000…
…111110110100000000
311000212000211211011010
4213101220332310000
51142332000334343
631212401520520
73022026060300
oct472150766400
9130760754133
1042171886848
1116980a26853
12820b343140
133c9101ca00
142080c0b600
15116c4edd33
hex9d1a3ed00

42171886848 has 648 divisors, whose sum is σ = 149246748000. Its totient is φ = 10506682368.

The previous prime is 42171886817. The next prime is 42171886853. The reversal of 42171886848 is 84868817124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120836178 + ... + 120836526.

Almost surely, 242171886848 is an apocalyptic number.

42171886848 is a gapful number since it is divisible by the number (48) 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 42171886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74623374000).

42171886848 is an abundant number, since it is smaller than the sum of its proper divisors (107074861152).

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

42171886848 is a wasteful number, since it uses less digits than its factorization.

42171886848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 393 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 57.

The spelling of 42171886848 in words is "forty-two billion, one hundred seventy-one million, eight hundred eighty-six thousand, eight hundred forty-eight".