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667031213952 = 27337919912277
BaseRepresentation
bin10011011010011100010…
…10001001011110000000
32100202201112220112112000
421231032022021132000
541412034442321302
61230232505504000
766122440524525
oct11551612113600
92322645815460
10667031213952
11237982804784
12a93374a2000
134ab92ccc00c
14243da89b14c
151253ea0331c
hex9b4e289780

667031213952 has 256 divisors, whose sum is σ = 2003769600000. Its totient is φ = 218408306688.

The previous prime is 667031213951. The next prime is 667031213957. The reversal of 667031213952 is 259312130766.

It is a junction number, because it is equal to n+sod(n) for n = 667031213898 and 667031213907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667031213951) by changing a digit.

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, 54325638 + ... + 54337914.

It is an arithmetic number, because the mean of its divisors is an integer number (7827225000).

Almost surely, 2667031213952 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 667031213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001884800000).

667031213952 is an abundant number, since it is smaller than the sum of its proper divisors (1336738386048).

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

667031213952 is a wasteful number, since it uses less digits than its factorization.

667031213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12578 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 667031213952 in words is "six hundred sixty-seven billion, thirty-one million, two hundred thirteen thousand, nine hundred fifty-two".