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48594984480 = 2535572947131
BaseRepresentation
bin101101010000011111…
…001001111000100000
311122102200000222200000
4231100133021320200
51244010304000410
634154011100000
73340141360410
oct552037117040
9148380028600
1048594984480
11196776690a9
129502441600
1347759563b3
1424cdcb4640
1513e635ddc0
hexb507c9e20

48594984480 has 1152 divisors, whose sum is σ = 209227898880. Its totient is φ = 10416107520.

The previous prime is 48594984463. The next prime is 48594984521. The reversal of 48594984480 is 8448949584.

It is a super-2 number, since 2×485949844802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 370954015 + ... + 370954145.

It is an arithmetic number, because the mean of its divisors is an integer number (181621440).

Almost surely, 248594984480 is an apocalyptic number.

48594984480 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 48594984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613949440).

48594984480 is an abundant number, since it is smaller than the sum of its proper divisors (160632914400).

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

48594984480 is a wasteful number, since it uses less digits than its factorization.

48594984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 48594984480 in words is "forty-eight billion, five hundred ninety-four million, nine hundred eighty-four thousand, four hundred eighty".