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48403339450704 = 243573197924181
BaseRepresentation
bin10110000000101110001111…
…10110101001100101010000
320100101022110221122110100000
423000113013312221211100
522321020014344410304
6250540104232330000
713124011605606000
oct1300270766514520
9210338427573300
1048403339450704
111447181727a417
125518a84543900
132101552612a94
14bd4a3c646000
1558e136822939
hex2c05c7da9950

48403339450704 has 960 divisors, whose sum is σ = 174636600320000. Its totient is φ = 12935277089280.

The previous prime is 48403339450691. The next prime is 48403339450709. The reversal of 48403339450704 is 40705493330484.

It is a happy number.

48403339450704 is a `hidden beast` number, since 4 + 8 + 40 + 3 + 3 + 3 + 94 + 507 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48403339450709) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2001697494 + ... + 2001721674.

Almost surely, 248403339450704 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 48403339450704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87318300160000).

48403339450704 is an abundant number, since it is smaller than the sum of its proper divisors (126233260869296).

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

48403339450704 is a wasteful number, since it uses less digits than its factorization.

48403339450704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24323 (or 24291 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 48403339450704 in words is "forty-eight trillion, four hundred three billion, three hundred thirty-nine million, four hundred fifty thousand, seven hundred four".