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672422593392 = 2433117116312227
BaseRepresentation
bin10011100100011111000…
…00101000001101110000
32101021122021201222202000
421302033200220031300
542004110140442032
61232523501454000
766403154511114
oct11621740501560
92337567658660
10672422593392
1123a19a029970
12aa3a0b71300
134b541c71474
142478c91b744
1512757eb8e7c
hex9c8f828370

672422593392 has 320 divisors, whose sum is σ = 2148496773120. Its totient is φ = 199645689600.

The previous prime is 672422593387. The next prime is 672422593399. The reversal of 672422593392 is 293395224276.

672422593392 is a `hidden beast` number, since 6 + 7 + 2 + 42 + 2 + 593 + 3 + 9 + 2 = 666.

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 (672422593399) 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 63 ways as a sum of consecutive naturals, for example, 54988783 + ... + 55001009.

It is an arithmetic number, because the mean of its divisors is an integer number (6714052416).

Almost surely, 2672422593392 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 672422593392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074248386560).

672422593392 is an abundant number, since it is smaller than the sum of its proper divisors (1476074179728).

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

672422593392 is a wasteful number, since it uses less digits than its factorization.

672422593392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12489 (or 12477 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 672422593392 in words is "six hundred seventy-two billion, four hundred twenty-two million, five hundred ninety-three thousand, three hundred ninety-two".