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57425207840 = 2557111319113167
BaseRepresentation
bin110101011110110011…
…110010001000100000
312111020001122210220122
4311132303302020200
51420101323122330
642214125255412
74102023133010
oct653663621040
9174201583818
1057425207840
112239903a660
12b167704568
1355521a1c30
142aca933c40
1517616a15e5
hexd5ecf2220

57425207840 has 768 divisors, whose sum is σ = 194596577280. Its totient is φ = 15420948480.

The previous prime is 57425207839. The next prime is 57425207863. The reversal of 57425207840 is 4870252475.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 57425207791 and 57425207800.

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 127 ways as a sum of consecutive naturals, for example, 343863437 + ... + 343863603.

It is an arithmetic number, because the mean of its divisors is an integer number (253380960).

Almost surely, 257425207840 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 57425207840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97298288640).

57425207840 is an abundant number, since it is smaller than the sum of its proper divisors (137171369440).

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

57425207840 is a wasteful number, since it uses less digits than its factorization.

57425207840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 44.

The spelling of 57425207840 in words is "fifty-seven billion, four hundred twenty-five million, two hundred seven thousand, eight hundred forty".