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19387011072 = 2123112131759
BaseRepresentation
bin10010000011100011…
…100101000000000000
31212001010002012112010
4102003203211000000
5304201033323242
612523430532520
71254266606112
oct220343450000
955033065463
1019387011072
11824950a400
123910807140
131a9c6b1bb0
14d1cb1b3b2
1578703489c
hex4838e5000

19387011072 has 624 divisors, whose sum is σ = 65887093440. Its totient is φ = 5017436160.

The previous prime is 19387011071. The next prime is 19387011107. The reversal of 19387011072 is 27011078391.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 19387011072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19387011071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328593379 + ... + 328593437.

Almost surely, 219387011072 is an apocalyptic number.

19387011072 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 19387011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32943546720).

19387011072 is an abundant number, since it is smaller than the sum of its proper divisors (46500082368).

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

19387011072 is a wasteful number, since it uses less digits than its factorization.

19387011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The spelling of 19387011072 in words is "nineteen billion, three hundred eighty-seven million, eleven thousand, seventy-two".