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48349147392 = 28327131953229
BaseRepresentation
bin101101000001110101…
…010111000100000000
311121210112110011120200
4231001311113010000
51243004340204032
634113350005200
73331064654250
oct550165270400
9147715404520
1048349147392
1119560919057
129454046800
134736a40770
1424a939d960
1513ce99d47c
hexb41d57100

48349147392 has 864 divisors, whose sum is σ = 184813574400. Its totient is φ = 11800608768.

The previous prime is 48349147349. The next prime is 48349147403. The reversal of 48349147392 is 29374194384.

48349147392 is a `hidden beast` number, since 4 + 83 + 4 + 9 + 1 + 473 + 92 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211131534 + ... + 211131762.

It is an arithmetic number, because the mean of its divisors is an integer number (213904600).

Almost surely, 248349147392 is an apocalyptic number.

48349147392 is a gapful number since it is divisible by the number (42) 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 48349147392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92406787200).

48349147392 is an abundant number, since it is smaller than the sum of its proper divisors (136464427008).

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

48349147392 is a wasteful number, since it uses less digits than its factorization.

48349147392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 326 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 48349147392 in words is "forty-eight billion, three hundred forty-nine million, one hundred forty-seven thousand, three hundred ninety-two".