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53414717900544 = 283271113533791153
BaseRepresentation
bin11000010010100100101010…
…10010010100011100000000
321000010101201112022201120100
430021102111102110130000
524000121320240304134
6305334214352442400
714152041334602240
oct1411222522243400
9230111645281510
1053414717900544
1116024066810730
125ba8168b49400
1323a5ca8b390b0
14d29401253b20
1562968ce3b999
hex309495494700

53414717900544 has 1728 divisors, whose sum is σ = 211420300815360. Its totient is φ = 12521066987520.

The previous prime is 53414717900521. The next prime is 53414717900651. The reversal of 53414717900544 is 44500971741435.

53414717900544 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 4 + 7 + 1 + 7 + 90 + 0 + 544 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46326727872 + ... + 46326729024.

It is an arithmetic number, because the mean of its divisors is an integer number (122349711120).

Almost surely, 253414717900544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53414717900544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105710150407680).

53414717900544 is an abundant number, since it is smaller than the sum of its proper divisors (158005582914816).

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

53414717900544 is a wasteful number, since it uses less digits than its factorization.

53414717900544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 53414717900544 in words is "fifty-three trillion, four hundred fourteen billion, seven hundred seventeen million, nine hundred thousand, five hundred forty-four".