Search a number
-
+
19712911680 = 2634572111783
BaseRepresentation
bin10010010110111110…
…110010100101000000
31212212211022200010000
4102112332302211000
5310333001133210
613020032040000
71265334661500
oct222676624500
955784280100
1019712911680
1183a6474350
1239a1993000
131b2207aaa7
14d50113a00
157a595cac0
hex496fb2940

19712911680 has 1680 divisors, whose sum is σ = 95356046016. Its totient is φ = 3808788480.

The previous prime is 19712911657. The next prime is 19712911681. The reversal of 19712911680 is 8611921791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19712911681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 237504919 + ... + 237505001.

Almost surely, 219712911680 is an apocalyptic number.

19712911680 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 19712911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47678023008).

19712911680 is an abundant number, since it is smaller than the sum of its proper divisors (75643134336).

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

19712911680 is a wasteful number, since it uses less digits than its factorization.

19712911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 19712911680 in words is "nineteen billion, seven hundred twelve million, nine hundred eleven thousand, six hundred eighty".