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535144004000 = 2553649120611
BaseRepresentation
bin1111100100110010001…
…00010111100110100000
31220011022002212002112022
413302121010113212200
532231433331112000
61045501453121012
753443236660404
oct7623104274640
91804262762468
10535144004000
11196a53925901
128786a789168
133b605151408
141bc888d7104
15ddc115b585
hex7c991179a0

535144004000 has 96 divisors (see below), whose sum is σ = 1315115186112. Its totient is φ = 214014240000.

The previous prime is 535144003997. The next prime is 535144004011. The reversal of 535144004000 is 400441535.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25953695 + ... + 25974305.

It is an arithmetic number, because the mean of its divisors is an integer number (13699116522).

Almost surely, 2535144004000 is an apocalyptic number.

535144004000 is a gapful number since it is divisible by the number (50) 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 535144004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657557593056).

535144004000 is an abundant number, since it is smaller than the sum of its proper divisors (779971182112).

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

535144004000 is a wasteful number, since it uses less digits than its factorization.

535144004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27127 (or 27109 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 535144004000 its reverse (400441535), we get a palindrome (535544445535).

The spelling of 535144004000 in words is "five hundred thirty-five billion, one hundred forty-four million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 6491 12982 20611 25964 32455 41222 51928 64910 82444 103055 103856 129820 162275 164888 206110 207712 259640 324550 329776 412220 515275 519280 649100 659552 811375 824440 1030550 1038560 1298200 1622750 1648880 2061100 2576375 2596400 3245500 3297760 4122200 5152750 5192800 6491000 8244400 10305500 12982000 16488800 20611000 25964000 41222000 82444000 133786001 267572002 535144004 668930005 1070288008 1337860010 2140576016 2675720020 3344650025 4281152032 5351440040 6689300050 10702880080 13378600100 16723250125 21405760160 26757200200 33446500250 53514400400 66893000500 107028800800 133786001000 267572002000 535144004000