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20480318528544 = 253572437915823
BaseRepresentation
bin1001010100000011100100…
…00111000101110000100000
32200111220021121111212200000
410222001302013011300200
510141022143020403134
6111320310051100000
74212440246114100
oct452016207056040
980456247455600
1020480318528544
116586721985746
1223692812a1600
13b57393a413c4
1450b3775d3200
15257b17bbbe99
hex12a0721c5c20

20480318528544 has 864 divisors, whose sum is σ = 72807434219520. Its totient is φ = 5642733777408.

The previous prime is 20480318528543. The next prime is 20480318528561. The reversal of 20480318528544 is 44582581308402.

20480318528544 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 0 + 318 + 5 + 285 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (20480318528543) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1294330617 + ... + 1294346439.

It is an arithmetic number, because the mean of its divisors is an integer number (84267863680).

Almost surely, 220480318528544 is an apocalyptic number.

20480318528544 is a gapful number since it is divisible by the number (24) 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 20480318528544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36403717109760).

20480318528544 is an abundant number, since it is smaller than the sum of its proper divisors (52327115690976).

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

20480318528544 is a wasteful number, since it uses less digits than its factorization.

20480318528544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15984 (or 15957 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 20480318528544 in words is "twenty trillion, four hundred eighty billion, three hundred eighteen million, five hundred twenty-eight thousand, five hundred forty-four".