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19148170272 = 2537113183561
BaseRepresentation
bin10001110101010100…
…011110010000100000
31211102110122211112120
4101311110132100200
5303203412422042
612444015424240
71245336522210
oct216524362040
954373584476
1019148170272
118136708810
123864825080
131a6207888a
14cd9108240
157710a6dec
hex47551e420

19148170272 has 192 divisors, whose sum is σ = 64689020928. Its totient is φ = 4813056000.

The previous prime is 19148170259. The next prime is 19148170277. The reversal of 19148170272 is 27207184191.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (19148170277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187372 + ... + 270932.

It is an arithmetic number, because the mean of its divisors is an integer number (336921984).

Almost surely, 219148170272 is an apocalyptic number.

19148170272 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 19148170272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32344510464).

19148170272 is an abundant number, since it is smaller than the sum of its proper divisors (45540850656).

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

19148170272 is a wasteful number, since it uses less digits than its factorization.

19148170272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83623 (or 83615 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

It can be divided in two parts, 19148 and 170272, that added together give a triangular number (189420 = T615).

The spelling of 19148170272 in words is "nineteen billion, one hundred forty-eight million, one hundred seventy thousand, two hundred seventy-two".