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19377718272 = 2103211217377
BaseRepresentation
bin10010000011000000…
…001000010000000000
31212000110121002012100
4102003000020100000
5304141143441042
612522455430400
71254124613313
oct220300102000
955013532170
1019377718272
118244242600
123909685400
131a9a7aa1b3
14d1b7bc97a
157862eb24c
hex483008400

19377718272 has 198 divisors, whose sum is σ = 61505312414. Its totient is φ = 5871697920.

The previous prime is 19377718237. The next prime is 19377718291. The reversal of 19377718272 is 27281777391.

It can be written as a sum of positive squares in only one way, i.e., 12061310976 + 7316407296 = 109824^2 + 85536^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1106448 + ... + 1123824.

Almost surely, 219377718272 is an apocalyptic number.

19377718272 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 19377718272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30752656207).

19377718272 is an abundant number, since it is smaller than the sum of its proper divisors (42127594142).

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

19377718272 is a wasteful number, since it uses less digits than its factorization.

19377718272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17425 (or 17393 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 54.

The spelling of 19377718272 in words is "nineteen billion, three hundred seventy-seven million, seven hundred eighteen thousand, two hundred seventy-two".