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48994565040 = 243352329311097
BaseRepresentation
bin101101101000010011…
…011011101110110000
311200110111220210011000
4231220103123232300
51300320102040130
634301403322000
73353062634331
oct555023335660
9150414823130
1048994565040
1119862177973
1295b4220300
13480a67bab5
14252adaa288
15141b48d260
hexb684dbbb0

48994565040 has 640 divisors, whose sum is σ = 188216524800. Its totient is φ = 11666350080.

The previous prime is 48994565033. The next prime is 48994565041. The reversal of 48994565040 is 4056549984.

48994565040 is a `hidden beast` number, since 4 + 8 + 99 + 45 + 6 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48994565041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44661772 + ... + 44662868.

It is an arithmetic number, because the mean of its divisors is an integer number (294088320).

Almost surely, 248994565040 is an apocalyptic number.

48994565040 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 48994565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94108262400).

48994565040 is an abundant number, since it is smaller than the sum of its proper divisors (139221959760).

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

48994565040 is a wasteful number, since it uses less digits than its factorization.

48994565040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 48994565040 in words is "forty-eight billion, nine hundred ninety-four million, five hundred sixty-five thousand, forty".