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48605266944 = 210341345077
BaseRepresentation
bin101101010001000110…
…011000010000000000
311122110101101101120000
4231101012120100000
51244020422020234
634155015320000
73340324644423
oct552106302000
9148411341500
1048605266944
1119682451503
129505980000
134777b166b0
1424d13cd9ba
1513e71e0899
hexb51198400

48605266944 has 220 divisors, whose sum is σ = 156313284204. Its totient is φ = 14955134976.

The previous prime is 48605266943. The next prime is 48605266949. The reversal of 48605266944 is 44966250684.

48605266944 is a `hidden beast` number, since 4 + 8 + 605 + 26 + 6 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16721593344 + 31883673600 = 129312^2 + 178560^2 .

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 (48605266943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1055734 + ... + 1100810.

Almost surely, 248605266944 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 48605266944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78156642102).

48605266944 is an abundant number, since it is smaller than the sum of its proper divisors (107708017260).

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

48605266944 is a wasteful number, since it uses less digits than its factorization.

48605266944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45122 (or 45095 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 48605266944 in words is "forty-eight billion, six hundred five million, two hundred sixty-six thousand, nine hundred forty-four".