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672023104128 = 27326737922973
BaseRepresentation
bin10011100011101111011…
…00101100101010000000
32101020121110000211111100
421301313230230222000
542002300403313003
61232420111214400
766360234064305
oct11616754545200
92336543024440
10672023104128
1123a004582752
12aa2ab217400
134b4aa27b49c
142475184b0ac
1512732da6ba3
hex9c77b2ca80

672023104128 has 192 divisors, whose sum is σ = 1967943650400. Its totient is φ = 220072495104.

The previous prime is 672023104091. The next prime is 672023104141. The reversal of 672023104128 is 821401320276.

It is a happy number.

672023104128 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 231 + 0 + 412 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 672023104092 and 672023104101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29241250 + ... + 29264222.

Almost surely, 2672023104128 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 672023104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983971825200).

672023104128 is an abundant number, since it is smaller than the sum of its proper divisors (1295920546272).

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

672023104128 is a wasteful number, since it uses less digits than its factorization.

672023104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23439 (or 23424 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 672023104128 in words is "six hundred seventy-two billion, twenty-three million, one hundred four thousand, one hundred twenty-eight".