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19504042272 = 253311213113127
BaseRepresentation
bin10010001010100010…
…000001000100100000
31212100021022000011000
4102022202001010200
5304421013323042
612543211152000
71260220424001
oct221242010440
955307260130
1019504042272
1182a9583700
123943a45600
131abaa09720
14d304a31a8
1579245074c
hex48a881120

19504042272 has 576 divisors, whose sum is σ = 68469166080. Its totient is φ = 5364817920.

The previous prime is 19504042267. The next prime is 19504042273. The reversal of 19504042272 is 27224040591.

19504042272 is a `hidden beast` number, since 195 + 0 + 40 + 422 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (19504042273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153575073 + ... + 153575199.

It is an arithmetic number, because the mean of its divisors is an integer number (118870080).

Almost surely, 219504042272 is an apocalyptic number.

19504042272 is a gapful number since it is divisible by the number (12) 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 19504042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34234583040).

19504042272 is an abundant number, since it is smaller than the sum of its proper divisors (48965123808).

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

19504042272 is a wasteful number, since it uses less digits than its factorization.

19504042272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 19504042272 in words is "nineteen billion, five hundred four million, forty-two thousand, two hundred seventy-two".