Search a number
-
+
57128472016 = 2476113189
BaseRepresentation
bin110101001101000111…
…110100110111010000
312110110101022001212221
4311031013310313100
51413444342101031
642124445230424
74061461000000
oct651507646720
9173411261787
1057128472016
1122256595640
12b0a4262414
135505877ac5
142a9d370000
1517455d9a11
hexd4d1f4dd0

57128472016 has 280 divisors, whose sum is σ = 147051659520. Its totient is φ = 21297830400.

The previous prime is 57128472013. The next prime is 57128472041. The reversal of 57128472016 is 61027482175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57128472013) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 641892900 + ... + 641892988.

Almost surely, 257128472016 is an apocalyptic number.

57128472016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57128472016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73525829760).

57128472016 is an abundant number, since it is smaller than the sum of its proper divisors (89923187504).

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

57128472016 is an frugal number, since it uses more digits than its factorization.

57128472016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 57128472016 in words is "fifty-seven billion, one hundred twenty-eight million, four hundred seventy-two thousand, sixteen".