Search a number
-
+
57243179520 = 2936537829
BaseRepresentation
bin110101010011111101…
…011001101000000000
312110202101010211000000
4311103331121220000
51414213223221040
642144104000000
74064352666132
oct652375315000
9173671124000
1057243179520
112230531202a
12b116760000
13552356aa77
142ab06ad052
1517506e7130
hexd53f59a00

57243179520 has 560 divisors, whose sum is σ = 211596624360. Its totient is φ = 14834368512.

The previous prime is 57243179509. The next prime is 57243179593. The reversal of 57243179520 is 2597134275.

It is a happy number.

57243179520 is a `hidden beast` number, since 5 + 7 + 24 + 31 + 79 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55025899776 + 2217279744 = 234576^2 + 47088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 69050466 + ... + 69051294.

Almost surely, 257243179520 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 57243179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105798312180).

57243179520 is an abundant number, since it is smaller than the sum of its proper divisors (154353444840).

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

57243179520 is an frugal number, since it uses more digits than its factorization.

57243179520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 57243179520 in words is "fifty-seven billion, two hundred forty-three million, one hundred seventy-nine thousand, five hundred twenty".