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42562260000 = 253454134347
BaseRepresentation
bin100111101000111010…
…001000110000100000
311001212020101211110000
4213220322020300200
51144131414310000
631315224540000
73034506145401
oct475072106040
9131766354400
1042562260000
1117061316997
1282ba021600
134023b70540
1420ba9c79a8
151191910000
hex9e8e88c20

42562260000 has 1200 divisors, whose sum is σ = 176034950784. Its totient is φ = 10015488000.

The previous prime is 42562259963. The next prime is 42562260019. The reversal of 42562260000 is 6226524.

42562260000 is a `hidden beast` number, since 4 + 2 + 56 + 2 + 2 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 905579977 + ... + 905580023.

Almost surely, 242562260000 is an apocalyptic number.

42562260000 is a gapful number since it is divisible by the number (40) 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 42562260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88017475392).

42562260000 is an abundant number, since it is smaller than the sum of its proper divisors (133472690784).

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

42562260000 is a wasteful number, since it uses less digits than its factorization.

42562260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42562260000 its reverse (6226524), we get a palindrome (42568486524).

The spelling of 42562260000 in words is "forty-two billion, five hundred sixty-two million, two hundred sixty thousand".