Search a number
-
+
57070118112000 = 283537631163
BaseRepresentation
bin11001111100111101011000…
…00111100000101100000000
321111001211221122201101121020
430332132230013200230000
524440014100214041000
6321213352245225440
715010115505000000
oct1476365407405400
9244054848641536
1057070118112000
111720333494a824
1264986a3102280
1325ac8c5aab6b6
1410142cc000000
1568e7d1000ba0
hex33e7ac1e0b00

57070118112000 has 2016 divisors, whose sum is σ = 229685626619904. Its totient is φ = 12546358272000.

The previous prime is 57070118111999. The next prime is 57070118112001. The reversal of 57070118112000 is 21181107075.

It is an interprime number because it is at equal distance from previous prime (57070118111999) and next prime (57070118112001).

It is not an unprimeable number, because it can be changed into a prime (57070118112001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 350123423919 + ... + 350123424081.

Almost surely, 257070118112000 is an apocalyptic number.

57070118112000 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 57070118112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114842813309952).

57070118112000 is an abundant number, since it is smaller than the sum of its proper divisors (172615508507904).

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

57070118112000 is an frugal number, since it uses more digits than its factorization.

57070118112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 33.

Adding to 57070118112000 its reverse (21181107075), we get a palindrome (57091299219075).

The spelling of 57070118112000 in words is "fifty-seven trillion, seventy billion, one hundred eighteen million, one hundred twelve thousand".