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48266862336 = 2833711233943
BaseRepresentation
bin101100111100111011…
…011101111100000000
311121120210121122201000
4230330323131330000
51242322304043321
634101250212000
73326045363160
oct547473357400
9147523548630
1048266862336
1119519427080
129430584000
134722990294
14249c4a05a0
1513c7647826
hexb3ceddf00

48266862336 has 576 divisors, whose sum is σ = 185737789440. Its totient is φ = 11988725760.

The previous prime is 48266862323. The next prime is 48266862389. The reversal of 48266862336 is 63326866284.

48266862336 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 6 + 8 + 623 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12239181 + ... + 12243123.

It is an arithmetic number, because the mean of its divisors is an integer number (322461440).

Almost surely, 248266862336 is an apocalyptic number.

48266862336 is a gapful number since it is divisible by the number (46) 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 48266862336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92868894720).

48266862336 is an abundant number, since it is smaller than the sum of its proper divisors (137470927104).

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

48266862336 is a wasteful number, since it uses less digits than its factorization.

48266862336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3989 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 48266862336 in words is "forty-eight billion, two hundred sixty-six million, eight hundred sixty-two thousand, three hundred thirty-six".