Search a number
-
+
57728517924 = 2237111723915377
BaseRepresentation
bin110101110000111000…
…110100011100100100
312112000012101120010110
4311300320310130210
51421212000033144
642304202253020
74112365206660
oct656070643444
9175005346113
1057728517924
1122534274a50
12b2311b7170
13559cc8b55c
142b18d298a0
15177d1160b9
hexd70e34724

57728517924 has 192 divisors, whose sum is σ = 178571796480. Its totient is φ = 14052433920.

The previous prime is 57728517883. The next prime is 57728517929. The reversal of 57728517924 is 42971582775.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57728517929) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3746524 + ... + 3761900.

It is an arithmetic number, because the mean of its divisors is an integer number (930061440).

Almost surely, 257728517924 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 57728517924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89285898240).

57728517924 is an abundant number, since it is smaller than the sum of its proper divisors (120843278556).

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

57728517924 is a wasteful number, since it uses less digits than its factorization.

57728517924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15658 (or 15656 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 57.

The spelling of 57728517924 in words is "fifty-seven billion, seven hundred twenty-eight million, five hundred seventeen thousand, nine hundred twenty-four".