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42178644648 = 23347171493671
BaseRepresentation
bin100111010010000010…
…110000101010101000
311000212111120011010000
4213102002300222220
51142340213112043
631213202423000
73022140364320
oct472202605250
9130774504100
1042178644648
1116984822008
128211661a60
133c925478ca
142081a8a280
15116cdd62d3
hex9d20b0aa8

42178644648 has 320 divisors, whose sum is σ = 143957088000. Its totient is φ = 11262965760.

The previous prime is 42178644619. The next prime is 42178644689. The reversal of 42178644648 is 84644687124.

42178644648 is a `hidden beast` number, since 4 + 2 + 178 + 6 + 4 + 464 + 8 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 42178644594 and 42178644603.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11487853 + ... + 11491523.

It is an arithmetic number, because the mean of its divisors is an integer number (449865900).

Almost surely, 242178644648 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 42178644648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71978544000).

42178644648 is an abundant number, since it is smaller than the sum of its proper divisors (101778443352).

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

42178644648 is a wasteful number, since it uses less digits than its factorization.

42178644648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3849 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 42178644648 in words is "forty-two billion, one hundred seventy-eight million, six hundred forty-four thousand, six hundred forty-eight".