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642223899072 = 2636717131883
BaseRepresentation
bin10010101100001111000…
…01110000000111000000
32021101200200120101000000
421112013201300013000
541010233304232242
61211011131000000
764253623033410
oct11260741600700
92241620511000
10642223899072
11228402714958
12a4573599000
134873b68b482
1423125d50640
1511a8bbe2a4c
hex95878701c0

642223899072 has 784 divisors, whose sum is σ = 2332451227392. Its totient is φ = 171186462720.

The previous prime is 642223899041. The next prime is 642223899073. The reversal of 642223899072 is 270998322246.

It is a super-2 number, since 2×6422238990722 (a number of 24 digits) contains 22 as substring.

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 (642223899073) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 727319943 + ... + 727320825.

Almost surely, 2642223899072 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 642223899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166225613696).

642223899072 is an abundant number, since it is smaller than the sum of its proper divisors (1690227328320).

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

642223899072 is a wasteful number, since it uses less digits than its factorization.

642223899072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 642223899072 in words is "six hundred forty-two billion, two hundred twenty-three million, eight hundred ninety-nine thousand, seventy-two".