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48067818240 = 2835132174357
BaseRepresentation
bin101100110001000100…
…001011001100000000
311121001221002011112110
4230301010023030000
51241420330140430
634025420055320
73321110466531
oct546104131400
9147057064473
1048067818240
1119427037322
129395994540
1346c067c100
14247dc8a688
1513b4e2b7b0
hexb3110b300

48067818240 has 432 divisors, whose sum is σ = 176052810528. Its totient is φ = 11133517824.

The previous prime is 48067818203. The next prime is 48067818269. The reversal of 48067818240 is 4281876084.

It is a super-3 number, since 3×480678182403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48067818240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11030142 + ... + 11034498.

It is an arithmetic number, because the mean of its divisors is an integer number (407529654).

Almost surely, 248067818240 is an apocalyptic number.

48067818240 is a gapful number since it is divisible by the number (40) 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 48067818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88026405264).

48067818240 is an abundant number, since it is smaller than the sum of its proper divisors (127984992288).

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

48067818240 is a wasteful number, since it uses less digits than its factorization.

48067818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 48067818240 in words is "forty-eight billion, sixty-seven million, eight hundred eighteen thousand, two hundred forty".