Search a number
-
+
12451968240 = 2435173051953
BaseRepresentation
bin10111001100011000…
…11111010011110000
31012010210120112012220
423212030133103300
5201000200440430
65415332521040
7620366661255
oct134614372360
935123515186
1012451968240
11530a8a2048
1224b6180180
1312359a035a
14861a6d42c
154cd29c110
hex2e631f4f0

12451968240 has 80 divisors (see below), whose sum is σ = 40871767968. Its totient is φ = 3125198848.

The previous prime is 12451968233. The next prime is 12451968253. The reversal of 12451968240 is 4286915421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12451968192 and 12451968201.

It is a congruent number.

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, 1521897 + ... + 1530056.

Almost surely, 212451968240 is an apocalyptic number.

12451968240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12451968240 is an abundant number, since it is smaller than the sum of its proper divisors (28419799728).

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

12451968240 is a wasteful number, since it uses less digits than its factorization.

12451968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051986 (or 3051980 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 12451968240 in words is "twelve billion, four hundred fifty-one million, nine hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 3051953 6103906 9155859 12207812 15259765 18311718 24415624 30519530 36623436 45779295 48831248 51883201 61039060 73246872 91558590 103766402 122078120 146493744 155649603 183117180 207532804 244156240 259416005 311299206 366234360 415065608 518832010 622598412 732468720 778248015 830131216 1037664020 1245196824 1556496030 2075328040 2490393648 3112992060 4150656080 6225984120 12451968240