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42537122784 = 2535131922147
BaseRepresentation
bin100111100111011010…
…001111101111100000
311001210111002201200000
4213213122033233200
51144104000412114
631312530100000
73034052402142
oct474732175740
9131714081600
1042537122784
1117049107a32
1282b171a600
13401b8aba50
1420b7522c92
15118e5e6e09
hex9e768fbe0

42537122784 has 288 divisors, whose sum is σ = 142211422080. Its totient is φ = 12398925312.

The previous prime is 42537122777. The next prime is 42537122807. The reversal of 42537122784 is 48722173524.

42537122784 is a `hidden beast` number, since 4 + 2 + 5 + 371 + 2 + 278 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909599 + ... + 1931745.

It is an arithmetic number, because the mean of its divisors is an integer number (493789660).

Almost surely, 242537122784 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 42537122784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71105711040).

42537122784 is an abundant number, since it is smaller than the sum of its proper divisors (99674299296).

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

42537122784 is a wasteful number, since it uses less digits than its factorization.

42537122784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22204 (or 22184 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 42537122784 in words is "forty-two billion, five hundred thirty-seven million, one hundred twenty-two thousand, seven hundred eighty-four".