Search a number
-
+
545312526120 = 233252571758901
BaseRepresentation
bin1111110111101110010…
…10001100111100101000
31221010112202201112112200
413323313022030330220
532413300001313440
61054302455540200
754253231664445
oct7736712147450
91833482645480
10545312526120
111a02a1782a9a
128982808a660
133c565a242cb
141c5711a69cc
15e2b8c06c30
hex7ef728cf28

545312526120 has 96 divisors (see below), whose sum is σ = 1772364714120. Its totient is φ = 145408550400.

The previous prime is 545312526107. The next prime is 545312526127. The reversal of 545312526120 is 21625213545.

545312526120 is a `hidden beast` number, since 5 + 4 + 5 + 3 + 1 + 2 + 526 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 322639904196 + 222672621924 = 568014^2 + 471882^2 .

It is a super-2 number, since 2×5453125261202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (545312526127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9228670 + ... + 9287570.

Almost surely, 2545312526120 is an apocalyptic number.

It is an amenable number.

545312526120 is an abundant number, since it is smaller than the sum of its proper divisors (1227052188000).

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

545312526120 is a wasteful number, since it uses less digits than its factorization.

545312526120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84635 (or 84628 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 545312526120 its reverse (21625213545), we get a palindrome (566937739665).

The spelling of 545312526120 in words is "five hundred forty-five billion, three hundred twelve million, five hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 25717 51434 58901 77151 102868 117802 128585 154302 176703 205736 231453 235604 257170 294505 308604 353406 385755 462906 471208 514340 530109 589010 617208 706812 771510 883515 925812 1028680 1060218 1157265 1178020 1413624 1543020 1767030 1851624 2120436 2314530 2356040 2650545 3086040 3534060 4240872 4629060 5301090 7068120 9258120 10602180 21204360 1514757017 3029514034 4544271051 6059028068 7573785085 9088542102 12118056136 13632813153 15147570170 18177084204 22721355255 27265626306 30295140340 36354168408 45442710510 54531252612 60590280680 68164065765 90885421020 109062505224 136328131530 181770842040 272656263060 545312526120