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58252292640 = 2533543313589
BaseRepresentation
bin110110010000000110…
…110111001000100000
312120100200222001222000
4312100012313020200
51423300041331030
642432152444000
74131355213653
oct662006671040
9176320861860
1058252292640
112278299a713
12b3586a9600
135654648c19
142b6870d89a
1517ae0c8860
hexd901b7220

58252292640 has 192 divisors, whose sum is σ = 208625155200. Its totient is φ = 15172641792.

The previous prime is 58252292639. The next prime is 58252292677. The reversal of 58252292640 is 4629225285.

It is a happy number.

58252292640 is a `hidden beast` number, since 5 + 82 + 522 + 9 + 2 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28966 + ... + 342554.

It is an arithmetic number, because the mean of its divisors is an integer number (1086589350).

Almost surely, 258252292640 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 58252292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104312577600).

58252292640 is an abundant number, since it is smaller than the sum of its proper divisors (150372862560).

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

58252292640 is a wasteful number, since it uses less digits than its factorization.

58252292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313656 (or 313642 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 58252292640 in words is "fifty-eight billion, two hundred fifty-two million, two hundred ninety-two thousand, six hundred forty".