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637679840112 = 243372194138671
BaseRepresentation
bin10010100011110001010…
…11100010101101110000
32020221222000010020222000
421101320223202231300
540421432014340422
61204540204014000
764033205131200
oct11217053425560
92227860106860
10637679840112
11226490711127
12a3705831300
13481961297a3
1422c14656400
15118c2ceecac
hex9478ae2b70

637679840112 has 480 divisors, whose sum is σ = 2296003046400. Its totient is φ = 168390835200.

The previous prime is 637679840041. The next prime is 637679840159. The reversal of 637679840112 is 211048976736.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16470537 + ... + 16509207.

It is an arithmetic number, because the mean of its divisors is an integer number (4783339680).

Almost surely, 2637679840112 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 637679840112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148001523200).

637679840112 is an abundant number, since it is smaller than the sum of its proper divisors (1658323206288).

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

637679840112 is a wasteful number, since it uses less digits than its factorization.

637679840112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38762 (or 38743 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 637679840112 in words is "six hundred thirty-seven billion, six hundred seventy-nine million, eight hundred forty thousand, one hundred twelve".