Search a number
-
+
57294669312 = 2932371093083
BaseRepresentation
bin110101010111000001…
…110100011000000000
312110212222000202201100
4311113001310120000
51414314413404222
642153143334400
74065546440136
oct652701643000
9173788022640
1057294669312
1122331390081
12b12ba51400
1355311282ba
142ab7473756
151754eb84ac
hexd57074600

57294669312 has 240 divisors, whose sum is σ = 171439004880. Its totient is φ = 18405605376.

The previous prime is 57294669307. The next prime is 57294669323. The reversal of 57294669312 is 21396649275.

57294669312 is a `hidden beast` number, since 572 + 9 + 4 + 6 + 69 + 3 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18582523 + ... + 18585605.

It is an arithmetic number, because the mean of its divisors is an integer number (714329187).

Almost surely, 257294669312 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 57294669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85719502440).

57294669312 is an abundant number, since it is smaller than the sum of its proper divisors (114144335568).

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

57294669312 is a wasteful number, since it uses less digits than its factorization.

57294669312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3234 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 57294669312 in words is "fifty-seven billion, two hundred ninety-four million, six hundred sixty-nine thousand, three hundred twelve".