Search a number
-
+
54728372790 = 23357137612927
BaseRepresentation
bin110010111110000100…
…001011001000110110
312020021010002101201000
4302332010023020312
51344040430412130
641050350544130
73645135331110
oct627604131066
9166233071630
1054728372790
1121234815563
12a734508046
135212555c50
1429126c63b0
151654a44260
hexcbe10b236

54728372790 has 256 divisors, whose sum is σ = 179918807040. Its totient is φ = 11527971840.

The previous prime is 54728372789. The next prime is 54728372857. The reversal of 54728372790 is 9727382745.

54728372790 is a `hidden beast` number, since 5 + 472 + 83 + 7 + 2 + 7 + 90 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18696307 + ... + 18699233.

It is an arithmetic number, because the mean of its divisors is an integer number (702807840).

Almost surely, 254728372790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54728372790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89959403520).

54728372790 is an abundant number, since it is smaller than the sum of its proper divisors (125190434250).

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

54728372790 is a wasteful number, since it uses less digits than its factorization.

54728372790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 54728372790 in words is "fifty-four billion, seven hundred twenty-eight million, three hundred seventy-two thousand, seven hundred ninety".