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31200793056 = 253417743953
BaseRepresentation
bin11101000011101101…
…100101000111100000
32222112102210111210000
4131003231211013200
51002344400334211
622200005140000
72153120236146
oct350355450740
988472714700
1031200793056
1112261041694
1260690ba600
132c330a6534
14171db03596
15c2926e656
hex743b651e0

31200793056 has 240 divisors, whose sum is σ = 97391204064. Its totient is φ = 9765052416.

The previous prime is 31200793031. The next prime is 31200793061. The reversal of 31200793056 is 65039700213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31200793056.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 32739076 + ... + 32740028.

Almost surely, 231200793056 is an apocalyptic number.

31200793056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200793056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48695602032).

31200793056 is an abundant number, since it is smaller than the sum of its proper divisors (66190411008).

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

31200793056 is a wasteful number, since it uses less digits than its factorization.

31200793056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 31200793056 in words is "thirty-one billion, two hundred million, seven hundred ninety-three thousand, fifty-six".