Search a number
-
+
57404059776 = 273472192313
BaseRepresentation
bin110101011101100011…
…000111000010000000
312111011120212101020000
4311131203013002000
51420030414403101
642212052120000
74101345312600
oct653543070200
9174146771200
1057404059776
1122388105818
12b160606000
13554a9a909b
142ac7bcac00
15175e8c5486
hexd5d8c7080

57404059776 has 720 divisors, whose sum is σ = 210404502990. Its totient is φ = 15488299008.

The previous prime is 57404059747. The next prime is 57404059787. The reversal of 57404059776 is 67795040475.

57404059776 is a `hidden beast` number, since 5 + 7 + 4 + 0 + 40 + 597 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57312360000 + 91699776 = 239400^2 + 9576^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 183399396 + ... + 183399708.

Almost surely, 257404059776 is an apocalyptic number.

57404059776 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 57404059776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105202251495).

57404059776 is an abundant number, since it is smaller than the sum of its proper divisors (153000443214).

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

57404059776 is a wasteful number, since it uses less digits than its factorization.

57404059776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 57404059776 in words is "fifty-seven billion, four hundred four million, fifty-nine thousand, seven hundred seventy-six".