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19731120630 = 235132329101751
BaseRepresentation
bin10010011000000100…
…010000000111110110
31212221002120210002120
4102120010100013312
5310402131330010
613021522220410
71265645521014
oct223004200766
955832523076
1019731120630
118405780a71
1239a7ab4706
131b25a84c10
14d526d38b4
157a7357e70
hex4981101f6

19731120630 has 256 divisors, whose sum is σ = 55668695040. Its totient is φ = 4435200000.

The previous prime is 19731120613. The next prime is 19731120677. The reversal of 19731120630 is 3602113791.

It is a super-2 number, since 2×197311206302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19731120591 and 19731120600.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 26272755 + ... + 26273505.

It is an arithmetic number, because the mean of its divisors is an integer number (217455840).

Almost surely, 219731120630 is an apocalyptic number.

19731120630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19731120630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27834347520).

19731120630 is an abundant number, since it is smaller than the sum of its proper divisors (35937574410).

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

19731120630 is a wasteful number, since it uses less digits than its factorization.

19731120630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927.

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 19731120630 in words is "nineteen billion, seven hundred thirty-one million, one hundred twenty thousand, six hundred thirty".