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672985608192 = 2123319536043
BaseRepresentation
bin10011100101100010001…
…00010111000000000000
32101100002112011002212000
421302301010113000000
542011233303430232
61233055413104000
766423132166512
oct11626104270000
92340075132760
10672985608192
1123a458916257
12aa519628000
134b6017ba811
14248035d7bb2
151278c62d27c
hex9cb1117000

672985608192 has 416 divisors, whose sum is σ = 2138676652800. Its totient is φ = 208477421568.

The previous prime is 672985608157. The next prime is 672985608199. The reversal of 672985608192 is 291806589276.

672985608192 is a `hidden beast` number, since 6 + 7 + 2 + 9 + 8 + 5 + 608 + 19 + 2 = 666.

It is a super-2 number, since 2×6729856081922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672985608199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111363123 + ... + 111369165.

Almost surely, 2672985608192 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 672985608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069338326400).

672985608192 is an abundant number, since it is smaller than the sum of its proper divisors (1465691044608).

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

672985608192 is a wasteful number, since it uses less digits than its factorization.

672985608192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 672985608192 in words is "six hundred seventy-two billion, nine hundred eighty-five million, six hundred eight thousand, one hundred ninety-two".