Search a number
-
+
57934785216 = 26371113192971
BaseRepresentation
bin110101111101001011…
…101010101011000000
312112112120112000122210
4311331023222223000
51422122301111331
642340451302120
74120451356230
oct657513525300
9175476460583
1057934785216
112262a748690
12b28a2aa940
13560392b3c9
142b3849dcc0
1517912ac446
hexd7d2eaac0

57934785216 has 224 divisors, whose sum is σ = 191318814720. Its totient is φ = 15031526400.

The previous prime is 57934785211. The next prime is 57934785217. The reversal of 57934785216 is 61258743975.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57934785211) 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 31 ways as a sum of consecutive naturals, for example, 19498611 + ... + 19501581.

Almost surely, 257934785216 is an apocalyptic number.

57934785216 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 57934785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95659407360).

57934785216 is an abundant number, since it is smaller than the sum of its proper divisors (133384029504).

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

57934785216 is a wasteful number, since it uses less digits than its factorization.

57934785216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4313 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 57.

The spelling of 57934785216 in words is "fifty-seven billion, nine hundred thirty-four million, seven hundred eighty-five thousand, two hundred sixteen".