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19730718720 = 21334519313
BaseRepresentation
bin10010011000000010…
…101110000000000000
31212221001211100210000
4102120002232000000
5310402030444340
613021505440000
71265642225166
oct223002560000
955831740700
1019730718720
118405527009
1239a7940000
131b25973cbb
14d5262b236
157a72c8d30
hex4980ae000

19730718720 has 560 divisors, whose sum is σ = 74694684240. Its totient is φ = 4968677376.

The previous prime is 19730718673. The next prime is 19730718727. The reversal of 19730718720 is 2781703791.

It is a super-2 number, since 2×197307187202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19730718727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63037284 + ... + 63037596.

Almost surely, 219730718720 is an apocalyptic number.

19730718720 is a gapful number since it is divisible by the number (10) 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 19730718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37347342120).

19730718720 is an abundant number, since it is smaller than the sum of its proper divisors (54963965520).

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

19730718720 is an equidigital number, since it uses as much as digits as its factorization.

19730718720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 19730718720 in words is "nineteen billion, seven hundred thirty million, seven hundred eighteen thousand, seven hundred twenty".