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42239354688 = 2633291276637
BaseRepresentation
bin100111010101101010…
…010110011101000000
311001000201210112122000
4213111222112131000
51143001233322223
631223211544000
73023505406446
oct472552263500
9131021715560
1042239354688
1116a060183a3
128229a5b000
133ca1cb2acb
142089b70b96
1511733c9543
hex9d5a96740

42239354688 has 224 divisors, whose sum is σ = 129488793600. Its totient is φ = 13485201408.

The previous prime is 42239354671. The next prime is 42239354701. The reversal of 42239354688 is 88645393224.

42239354688 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 93 + 546 + 8 + 8 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6360906 + ... + 6367542.

Almost surely, 242239354688 is an apocalyptic number.

42239354688 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 42239354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64744396800).

42239354688 is an abundant number, since it is smaller than the sum of its proper divisors (87249438912).

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

42239354688 is a wasteful number, since it uses less digits than its factorization.

42239354688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6798 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 42239354688 in words is "forty-two billion, two hundred thirty-nine million, three hundred fifty-four thousand, six hundred eighty-eight".