Search a number
-
+
57666477220 = 2251123531012129
BaseRepresentation
bin110101101101001100…
…001001110010100100
312111211212122120021121
4311231030021302210
51421100104232340
642254104423324
74111012653202
oct655514116244
9174755576247
1057666477220
112250224a940
12b214477b44
135590178791
142b109ba072
15177795d94a
hexd6d309ca4

57666477220 has 192 divisors, whose sum is σ = 141910755840. Its totient is φ = 19475456000.

The previous prime is 57666477203. The next prime is 57666477227. The reversal of 57666477220 is 2277466675.

It is not an unprimeable number, because it can be changed into a prime (57666477227) 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, 27085116 + ... + 27087244.

It is an arithmetic number, because the mean of its divisors is an integer number (739118520).

Almost surely, 257666477220 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 57666477220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70955377920).

57666477220 is an abundant number, since it is smaller than the sum of its proper divisors (84244278620).

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

57666477220 is a wasteful number, since it uses less digits than its factorization.

57666477220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 52.

The spelling of 57666477220 in words is "fifty-seven billion, six hundred sixty-six million, four hundred seventy-seven thousand, two hundred twenty".