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639716932939392 = 27357211219416173
BaseRepresentation
bin1001000101110100011011010…
…0100010110110111010000000
310002220001100012222012121100000
42101131012310202312322000
51132322110234313030032
610144321522451200000
7251514010646110500
oct22135066442667200
93086040188177300
10639716932939392
11175919478292800
125b8b95165a6000
13215c50813b9249
14b3d8671429a00
154de578b0a7e7c
hex245d1b48b6e80

639716932939392 has 6912 divisors, whose sum is σ = 2711881797206400. Its totient is φ = 148988657664000.

The previous prime is 639716932939361. The next prime is 639716932939471. The reversal of 639716932939392 is 293939239617936.

639716932939392 is a `hidden beast` number, since 6 + 3 + 9 + 7 + 169 + 32 + 9 + 39 + 392 = 666.

It is a super-2 number, since 2×6397169329393922 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 8763245656668 + ... + 8763245656740.

Almost surely, 2639716932939392 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 639716932939392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355940898603200).

639716932939392 is an abundant number, since it is smaller than the sum of its proper divisors (2072164864267008).

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

639716932939392 is a wasteful number, since it uses less digits than its factorization.

639716932939392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 217 counting only the distinct ones).

The product of its digits is 4821232752, while the sum is 81.

The spelling of 639716932939392 in words is "six hundred thirty-nine trillion, seven hundred sixteen billion, nine hundred thirty-two million, nine hundred thirty-nine thousand, three hundred ninety-two".