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542481227000640 = 26335414421346391
BaseRepresentation
bin111101101011000100100000…
…0110101010010101101000000
32122010202200212102212001011000
41323112021000311102231000
51032101003023103010030
65201432234003452000
7222156655342524444
oct17326110065225500
92563680772761130
10542481227000640
1114793aaa6204914
1250a145b5387000
131a3909b6221b25
1497d6335280824
1542ab2ad080860
hex1ed6240d52b40

542481227000640 has 448 divisors, whose sum is σ = 1960879221987840. Its totient is φ = 141100996608000.

The previous prime is 542481227000633. The next prime is 542481227000653. The reversal of 542481227000640 is 46000722184245.

542481227000640 is a `hidden beast` number, since 5 + 42 + 481 + 2 + 2 + 70 + 0 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1565921845 + ... + 1566268235.

It is an arithmetic number, because the mean of its divisors is an integer number (4376962549080).

Almost surely, 2542481227000640 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 542481227000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980439610993920).

542481227000640 is an abundant number, since it is smaller than the sum of its proper divisors (1418397994987200).

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

542481227000640 is a wasteful number, since it uses less digits than its factorization.

542481227000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350879 (or 350863 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

Adding to 542481227000640 its reverse (46000722184245), we get a palindrome (588481949184885).

The spelling of 542481227000640 in words is "five hundred forty-two trillion, four hundred eighty-one billion, two hundred twenty-seven million, six hundred forty", and thus it is an aban number.