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672053278536 = 233629103173223
BaseRepresentation
bin10011100011110010111…
…11110011011101001000
32101020200112210212000000
421301321133303131020
542002331114403121
61232423110043000
766361051420323
oct11617137633510
92336615725000
10672053278536
1123a01a612182
12aa2b9349460
134b4b35b4973
14247558637ba
1512735867526
hex9c797f3748

672053278536 has 448 divisors, whose sum is σ = 1993715942400. Its totient is φ = 212000011776.

The previous prime is 672053278531. The next prime is 672053278679. The reversal of 672053278536 is 635872350276.

It is a happy number.

672053278536 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 5 + 32 + 78 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (672053278531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3013691721 + ... + 3013691943.

It is an arithmetic number, because the mean of its divisors is an integer number (4450258800).

Almost surely, 2672053278536 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 672053278536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996857971200).

672053278536 is an abundant number, since it is smaller than the sum of its proper divisors (1321662663864).

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

672053278536 is a wasteful number, since it uses less digits than its factorization.

672053278536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 672053278536 in words is "six hundred seventy-two billion, fifty-three million, two hundred seventy-eight thousand, five hundred thirty-six".