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42249690936 = 23331931437723
BaseRepresentation
bin100111010110010001…
…110001111100111000
311001001110020200022000
4213112101301330320
51143011410102221
631224221301000
73023662306335
oct472621617470
9131043220260
1042249690936
1116a10938152
128231404760
133ca419172b
14208b2a198c
15117426be26
hex9d6471f38

42249690936 has 256 divisors, whose sum is σ = 130504704000. Its totient is φ = 12609717120.

The previous prime is 42249690919. The next prime is 42249690937. The reversal of 42249690936 is 63909694224.

42249690936 is a `hidden beast` number, since 422 + 49 + 6 + 90 + 93 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42249690937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5466771 + ... + 5474493.

It is an arithmetic number, because the mean of its divisors is an integer number (509784000).

Almost surely, 242249690936 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 42249690936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65252352000).

42249690936 is an abundant number, since it is smaller than the sum of its proper divisors (88255013064).

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

42249690936 is a wasteful number, since it uses less digits than its factorization.

42249690936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 42249690936 in words is "forty-two billion, two hundred forty-nine million, six hundred ninety thousand, nine hundred thirty-six".