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132454541010232 = 23723791110024453
BaseRepresentation
bin11110000111011101111001…
…110111011010010100111000
3122100222112022200221220022201
4132013131321313122110320
5114330113344444311412
61145412435350155544
736620345001100300
oct3607357167322470
9570875280856281
10132454541010232
1139227723354681
1212a326b1952bb4
1358ba542c2c6bc
14249cb96684600
15104a6a7303e57
hex787779dda538

132454541010232 has 96 divisors (see below), whose sum is σ = 297033393539520. Its totient is φ = 55171375983360.

The previous prime is 132454541010167. The next prime is 132454541010241. The reversal of 132454541010232 is 232010145454231.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 132454541010191 and 132454541010200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8200918 + ... + 18225370.

It is an arithmetic number, because the mean of its divisors is an integer number (3094097849370).

Almost surely, 2132454541010232 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 132454541010232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148516696769760).

132454541010232 is an abundant number, since it is smaller than the sum of its proper divisors (164578852529288).

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

132454541010232 is a wasteful number, since it uses less digits than its factorization.

132454541010232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025421 (or 10025410 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 132454541010232 its reverse (232010145454231), we get a palindrome (364464686464463).

The spelling of 132454541010232 in words is "one hundred thirty-two trillion, four hundred fifty-four billion, five hundred forty-one million, ten thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 911 1036 1813 1822 2072 3626 3644 6377 7252 7288 12754 14504 25508 33707 44639 51016 67414 89278 134828 178556 235949 269656 357112 471898 943796 1651643 1887592 3303286 6606572 10024453 13213144 20048906 40097812 70171171 80195624 140342342 280684684 370904761 491198197 561369368 741809522 982396394 1483619044 1964792788 2596333327 2967238088 3929585576 5192666654 9132276683 10385333308 18174333289 18264553366 20770666616 36348666578 36529106732 63925936781 72697333156 73058213464 127851873562 145394666312 255703747124 337894237271 447481557467 511407494248 675788474542 894963114934 1351576949084 1789926229868 2365259660897 2703153898168 3579852459736 4730519321794 9461038643588 16556817626279 18922077287176 33113635252558 66227270505116 132454541010232