Search a number
-
+
19389483048960 = 213325192367397
BaseRepresentation
bin1000110100010011101110…
…01111111110000000000000
32112122121122102002222112100
410122021313033332000000
510020134130130031320
6105123223333030400
74040562315405003
oct432116717760000
975577572088470
1019389483048960
1161a6040775572
12221198a785400
13aa856082a59b
144b065532953a
15239571a94790
hex11a2773fe000

19389483048960 has 1008 divisors, whose sum is σ = 71308926801216. Its totient is φ = 4872743682048.

The previous prime is 19389483048841. The next prime is 19389483048961. The reversal of 19389483048960 is 6984038498391.

19389483048960 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 9 + 4 + 83 + 0 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19389483048961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48840007482 + ... + 48840007878.

Almost surely, 219389483048960 is an apocalyptic number.

19389483048960 is a gapful number since it is divisible by the number (10) 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 19389483048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35654463400608).

19389483048960 is an abundant number, since it is smaller than the sum of its proper divisors (51919443752256).

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

19389483048960 is a wasteful number, since it uses less digits than its factorization.

19389483048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 19389483048960 in words is "nineteen trillion, three hundred eighty-nine billion, four hundred eighty-three million, forty-eight thousand, nine hundred sixty".