Search a number
-
+
54692448720 = 2435713612673
BaseRepresentation
bin110010111011111011…
…001000100111010000
312020011121111021010220
4302323323020213100
51344002231324340
641043024553040
73644221100160
oct627373104720
9166147437126
1054692448720
1121216509248
12a724482780
135207c886c0
14290ba145a0
1516517e9ed0
hexcbbec89d0

54692448720 has 480 divisors, whose sum is σ = 212464901376. Its totient is φ = 11333468160.

The previous prime is 54692448677. The next prime is 54692448749. The reversal of 54692448720 is 2784429645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81266304 + ... + 81266976.

Almost surely, 254692448720 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 54692448720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106232450688).

54692448720 is an abundant number, since it is smaller than the sum of its proper divisors (157772452656).

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

54692448720 is a wasteful number, since it uses less digits than its factorization.

54692448720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 54692448720 in words is "fifty-four billion, six hundred ninety-two million, four hundred forty-eight thousand, seven hundred twenty".