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537011220000 = 2535427133299
BaseRepresentation
bin1111101000010000101…
…11001110111000100000
31220100010020100111100110
413310020113032320200
532244244333020000
61050411034051320
753540432025003
oct7641027167040
91810106314313
10537011220000
11197821919922
12880abb79b40
133b841c46a58
141bdc48a953a
15de80040850
hex7d085cee20

537011220000 has 240 divisors, whose sum is σ = 1762687634400. Its totient is φ = 143106816000.

The previous prime is 537011219993. The next prime is 537011220001. The reversal of 537011220000 is 22110735.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (537011220001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162778351 + ... + 162781649.

It is an arithmetic number, because the mean of its divisors is an integer number (7344531810).

Almost surely, 2537011220000 is an apocalyptic number.

537011220000 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 537011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881343817200).

537011220000 is an abundant number, since it is smaller than the sum of its proper divisors (1225676414400).

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

537011220000 is a wasteful number, since it uses less digits than its factorization.

537011220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 537011220000 its reverse (22110735), we get a palindrome (537033330735).

The spelling of 537011220000 in words is "five hundred thirty-seven billion, eleven million, two hundred twenty thousand".