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48652125648 = 243717193114461
BaseRepresentation
bin101101010011111001…
…001000010111010000
311122120122120001121120
4231103321020113100
51244114421010043
634203411522240
73341434146630
oct552371102720
9148518501546
1048652125648
11196a6947105
1295195b9380
134784742039
1424d770a6c0
1513eb399983
hexb53e485d0

48652125648 has 320 divisors, whose sum is σ = 165269422080. Its totient is φ = 11993702400.

The previous prime is 48652125647. The next prime is 48652125649. The reversal of 48652125648 is 84652125684.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48652125647) and next prime (48652125649).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 48652125648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48652125647) 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 63 ways as a sum of consecutive naturals, for example, 3357138 + ... + 3371598.

It is an arithmetic number, because the mean of its divisors is an integer number (516466944).

Almost surely, 248652125648 is an apocalyptic number.

48652125648 is a gapful number since it is divisible by the number (48) 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 48652125648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82634711040).

48652125648 is an abundant number, since it is smaller than the sum of its proper divisors (116617296432).

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

48652125648 is a wasteful number, since it uses less digits than its factorization.

48652125648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14546 (or 14540 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The spelling of 48652125648 in words is "forty-eight billion, six hundred fifty-two million, one hundred twenty-five thousand, six hundred forty-eight".