Search a number
-
+
19331887680 = 263457231491
BaseRepresentation
bin10010000000010001…
…010011001001000000
31211220021100122110000
4102000101103021000
5304042430401210
612514141240000
71253030222400
oct220021231100
954807318400
1019331887680
11822038a386
1238b6263000
131a911517c1
14d1568c800
15782296ac0
hex480453240

19331887680 has 840 divisors, whose sum is σ = 82742812416. Its totient is φ = 4267468800.

The previous prime is 19331887639. The next prime is 19331887691. The reversal of 19331887680 is 8678813391.

19331887680 is a `hidden beast` number, since 193 + 318 + 87 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39372235 + ... + 39372725.

Almost surely, 219331887680 is an apocalyptic number.

19331887680 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 19331887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41371406208).

19331887680 is an abundant number, since it is smaller than the sum of its proper divisors (63410924736).

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

19331887680 is a wasteful number, since it uses less digits than its factorization.

19331887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 19331887680 in words is "nineteen billion, three hundred thirty-one million, eight hundred eighty-seven thousand, six hundred eighty".