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16504412736 = 26371743107157
BaseRepresentation
bin11110101111011110…
…10101101001000000
31120121012222000222210
433113233111221000
5232300112201421
611325414502120
71122665123250
oct172757255100
946535860883
1016504412736
116aaa346629
123247364940
1317304249c6
14b27d55960
15668e31576
hex3d7bd5a40

16504412736 has 448 divisors, whose sum is σ = 54923692032. Its totient is φ = 4267081728.

The previous prime is 16504412711. The next prime is 16504412737. The reversal of 16504412736 is 63721440561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 16504412694 and 16504412703.

It is not an unprimeable number, because it can be changed into a prime (16504412737) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 105123570 + ... + 105123726.

Almost surely, 216504412736 is an apocalyptic number.

16504412736 is a gapful number since it is divisible by the number (16) 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 16504412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27461846016).

16504412736 is an abundant number, since it is smaller than the sum of its proper divisors (38419279296).

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

16504412736 is a wasteful number, since it uses less digits than its factorization.

16504412736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 16504412736 in words is "sixteen billion, five hundred four million, four hundred twelve thousand, seven hundred thirty-six".