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4948489776384 = 28327111923293171
BaseRepresentation
bin100100000000010100011…
…1110011010110100000000
3122112001220202112122110100
41020000220332122310000
51122034001340321014
614305145501402400
71020342122041110
oct110005076326400
918461822478410
104948489776384
111638708521120
1267b073269400
1329b8434929cb
14131718651040
1588ac54b3009
hex48028f9ad00

4948489776384 has 3456 divisors, whose sum is σ = 21158284492800. Its totient is φ = 1072963584000.

The previous prime is 4948489776371. The next prime is 4948489776409. The reversal of 4948489776384 is 4836779848494.

4948489776384 is a `hidden beast` number, since 4 + 9 + 4 + 8 + 489 + 77 + 63 + 8 + 4 = 666.

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

Its product of digits (9364045824) is a multiple of the sum of its prime divisors (196).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69697039069 + ... + 69697039139.

It is an arithmetic number, because the mean of its divisors is an integer number (6122188800).

Almost surely, 24948489776384 is an apocalyptic number.

4948489776384 is a gapful number since it is divisible by the number (44) 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 4948489776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579142246400).

4948489776384 is an abundant number, since it is smaller than the sum of its proper divisors (16209794716416).

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

4948489776384 is a wasteful number, since it uses less digits than its factorization.

4948489776384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its digits is 9364045824, while the sum is 81.

The spelling of 4948489776384 in words is "four trillion, nine hundred forty-eight billion, four hundred eighty-nine million, seven hundred seventy-six thousand, three hundred eighty-four".