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57425607150000 = 243552994114029
BaseRepresentation
bin11010000111010011100001…
…11010100100100110110000
321112022211112022001121112220
431003221300322210212300
530011330120412300000
6322044543145121040
715044602035652335
oct1503516072444660
9245284468047486
1057425607150000
1117330077176611
126535573789180
1326072999232ab
1410275b287498c
15698b89dab1a0
hex343a70ea49b0

57425607150000 has 480 divisors, whose sum is σ = 192036487003200. Its totient is φ = 14768678400000.

The previous prime is 57425607149959. The next prime is 57425607150007. The reversal of 57425607150000 is 5170652475.

It is a happy number.

It is a super-2 number, since 2×574256071500002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57425607150007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4093342986 + ... + 4093357014.

It is an arithmetic number, because the mean of its divisors is an integer number (400076014590).

Almost surely, 257425607150000 is an apocalyptic number.

57425607150000 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 57425607150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96018243501600).

57425607150000 is an abundant number, since it is smaller than the sum of its proper divisors (134610879853200).

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

57425607150000 is a wasteful number, since it uses less digits than its factorization.

57425607150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15035 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 57425607150000 in words is "fifty-seven trillion, four hundred twenty-five billion, six hundred seven million, one hundred fifty thousand".