Search a number
-
+
57404529000 = 2332537213171931
BaseRepresentation
bin110101011101100100…
…111001100101101000
312111011121202012212200
4311131210321211220
51420031024412000
642212110140200
74101352305600
oct653544714550
9174147665780
1057404529000
11223883a6305
12b1607b1660
13554ab11830
142ac7cadc00
15175e969500
hexd5d939968

57404529000 has 2304 divisors, whose sum is σ = 279649843200. Its totient is φ = 10450944000.

The previous prime is 57404528999. The next prime is 57404529029. The reversal of 57404529000 is 92540475.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 1851758985 + ... + 1851759015.

It is an arithmetic number, because the mean of its divisors is an integer number (121375800).

Almost surely, 257404529000 is an apocalyptic number.

57404529000 is a gapful number since it is divisible by the number (50) 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 57404529000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139824921600).

57404529000 is an abundant number, since it is smaller than the sum of its proper divisors (222245314200).

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

57404529000 is a wasteful number, since it uses less digits than its factorization.

57404529000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 57404529000 in words is "fifty-seven billion, four hundred four million, five hundred twenty-nine thousand".