Search a number
-
+
19274980032 = 2632711716121
BaseRepresentation
bin10001111100111000…
…001101101011000000
31211202022021102211100
4101330320031223000
5303433343330112
612504345414400
71251436425030
oct217470155300
954668242740
1019274980032
1181a1250870
12389b19a400
131a82418239
14d0bcb78c0
1577c2a52dc
hex47ce0dac0

19274980032 has 336 divisors, whose sum is σ = 69862500864. Its totient is φ = 4935168000.

The previous prime is 19274979991. The next prime is 19274980033. The reversal of 19274980032 is 23008947291.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19274980032.

It is not an unprimeable number, because it can be changed into a prime (19274980033) 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, 3145932 + ... + 3152052.

Almost surely, 219274980032 is an apocalyptic number.

19274980032 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 19274980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34931250432).

19274980032 is an abundant number, since it is smaller than the sum of its proper divisors (50587520832).

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

19274980032 is a wasteful number, since it uses less digits than its factorization.

19274980032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19274980032 in words is "nineteen billion, two hundred seventy-four million, nine hundred eighty thousand, thirty-two".