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42929313236784 = 243213291024377201
BaseRepresentation
bin10011100001011010000100…
…11101110100011100110000
312122000000001122120122212100
421300231002131310130300
521111323213142034114
6231145242041100400
712020353254530052
oct1160550235643460
9178000048518770
1042929313236784
1112751246180377
124993ba4187700
131ac52a85c6850
14a85b0b4a98d2
154e6a538e4909
hex270b42774730

42929313236784 has 240 divisors, whose sum is σ = 133860504566880. Its totient is φ = 12752125747200.

The previous prime is 42929313236783. The next prime is 42929313236791. The reversal of 42929313236784 is 48763231392924.

It is a happy number.

42929313236784 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 9 + 313 + 236 + 7 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (42929313236783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556033384 + ... + 556110584.

It is an arithmetic number, because the mean of its divisors is an integer number (557752102362).

Almost surely, 242929313236784 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 42929313236784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66930252283440).

42929313236784 is an abundant number, since it is smaller than the sum of its proper divisors (90931191330096).

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

42929313236784 is a wasteful number, since it uses less digits than its factorization.

42929313236784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87500 (or 87491 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 42929313236784 in words is "forty-two trillion, nine hundred twenty-nine billion, three hundred thirteen million, two hundred thirty-six thousand, seven hundred eighty-four".