Search a number
-
+
19231688736 = 2535131719231
BaseRepresentation
bin10001111010010011…
…000100100000100000
31211122021211000100000
4101322103010200200
5303341303014421
612500201500000
71250402441241
oct217223044040
954567730300
1019231688736
118179872437
1238887a1600
131a7646b5a0
14d06248cc8
157785a3226
hex47a4c4820

19231688736 has 864 divisors, whose sum is σ = 70455909888. Its totient is φ = 5106032640.

The previous prime is 19231688713. The next prime is 19231688737. The reversal of 19231688736 is 63788613291.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19231688737) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 620377041 + ... + 620377071.

It is an arithmetic number, because the mean of its divisors is an integer number (81546192).

Almost surely, 219231688736 is an apocalyptic number.

19231688736 is a gapful number since it is divisible by the number (16) 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 19231688736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35227954944).

19231688736 is an abundant number, since it is smaller than the sum of its proper divisors (51224221152).

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

19231688736 is a wasteful number, since it uses less digits than its factorization.

19231688736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 19231688736 in words is "nineteen billion, two hundred thirty-one million, six hundred eighty-eight thousand, seven hundred thirty-six".