Search a number
-
+
5477625054720 = 2932571315711663
BaseRepresentation
bin100111110110101101111…
…1001010100011000000000
3201101122201002220211221200
41033231123321110120000
51204221134003222340
615352215231021200
71103513440512060
oct117553371243000
921348632824850
105477625054720
1118220585a6445
1274572566a800
133096cb7b1840
1414d1931073a0
1597743d61330
hex4fb5be54600

5477625054720 has 960 divisors, whose sum is σ = 23377287757824. Its totient is φ = 1154288517120.

The previous prime is 5477625054719. The next prime is 5477625054749. The reversal of 5477625054720 is 274505267745.

5477625054720 is a `hidden beast` number, since 5 + 4 + 7 + 7 + 62 + 505 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3293820609 + ... + 3293822271.

Almost surely, 25477625054720 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 5477625054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11688643878912).

5477625054720 is an abundant number, since it is smaller than the sum of its proper divisors (17899662703104).

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

5477625054720 is a wasteful number, since it uses less digits than its factorization.

5477625054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 5477625054720 in words is "five trillion, four hundred seventy-seven billion, six hundred twenty-five million, fifty-four thousand, seven hundred twenty".