Search a number
-
+
5323707607680 = 273657111723379
BaseRepresentation
bin100110101111000010110…
…1100110110101010000000
3200211221102100002102000000
41031132011230312222000
51144210423121421210
615153402202000000
71056424303012320
oct115360554665200
920757370072000
105323707607680
111772854179360
1271b92aaa6000
132c803c7560a7
14145951371280
15937363b6ac0
hex4d785b36a80

5323707607680 has 3584 divisors, whose sum is σ = 26354220134400. Its totient is φ = 993257717760.

The previous prime is 5323707607643. The next prime is 5323707607721. The reversal of 5323707607680 is 867067073235.

5323707607680 is a `hidden beast` number, since 5 + 3 + 23 + 7 + 0 + 7 + 607 + 6 + 8 + 0 = 666.

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 447 ways as a sum of consecutive naturals, for example, 14046721731 + ... + 14046722109.

Almost surely, 25323707607680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5323707607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177110067200).

5323707607680 is an abundant number, since it is smaller than the sum of its proper divisors (21030512526720).

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

5323707607680 is a wasteful number, since it uses less digits than its factorization.

5323707607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 5323707607680 in words is "five trillion, three hundred twenty-three billion, seven hundred seven million, six hundred seven thousand, six hundred eighty".