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48397980456 = 233273179113347
BaseRepresentation
bin101101000100101111…
…101001001100101000
311121220221100010221200
4231010233221030220
51243104340333311
634122252404200
73332230021560
oct550457511450
9147827303850
1048397980456
1119586442061
129468476660
134743baa977
1424b1a71da0
1513d3de7556
hexb44be9328

48397980456 has 384 divisors, whose sum is σ = 158434099200. Its totient is φ = 13057873920.

The previous prime is 48397980431. The next prime is 48397980457. The reversal of 48397980456 is 65408979384.

48397980456 is a `hidden beast` number, since 4 + 8 + 3 + 97 + 98 + 0 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48397980393 and 48397980402.

It is not an unprimeable number, because it can be changed into a prime (48397980457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139475275 + ... + 139475621.

It is an arithmetic number, because the mean of its divisors is an integer number (412588800).

Almost surely, 248397980456 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 48397980456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79217049600).

48397980456 is an abundant number, since it is smaller than the sum of its proper divisors (110036118744).

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

48397980456 is a wasteful number, since it uses less digits than its factorization.

48397980456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 48397980456 in words is "forty-eight billion, three hundred ninety-seven million, nine hundred eighty thousand, four hundred fifty-six".