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1306642445325 = 32527829614251
BaseRepresentation
bin10011000000111001111…
…101010111010000001101
311121220200011021122012200
4103000321331113100031
5132402000431222300
62440132510152113
7163254550350240
oct23007175272015
94556604248180
101306642445325
11464164661728
1219129bab2639
13962a6300669
144735582d257
1523ec7162200
hex13039f5740d

1306642445325 has 36 divisors (see below), whose sum is σ = 2674676348448. Its totient is φ = 597322260000.

The previous prime is 1306642445299. The next prime is 1306642445327. The reversal of 1306642445325 is 5235442466031.

1306642445325 is a `hidden beast` number, since 1 + 30 + 6 + 6 + 42 + 44 + 532 + 5 = 666.

It is not a de Polignac number, because 1306642445325 - 26 = 1306642445261 is a prime.

It is a super-2 number, since 2×13066424453252 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306642445327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 414805551 + ... + 414808700.

Almost surely, 21306642445325 is an apocalyptic number.

1306642445325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1306642445325 is an abundant number, since it is smaller than the sum of its proper divisors (1368033903123).

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

1306642445325 is a wasteful number, since it uses less digits than its factorization.

1306642445325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829614274 (or 829614266 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 1306642445325 in words is "one trillion, three hundred six billion, six hundred forty-two million, four hundred forty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 829614251 2488842753 4148071255 5807299757 7466528259 12444213765 17421899271 20740356275 29036498785 37332641295 52265697813 62221068825 87109496355 145182493925 186663206475 261328489065 435547481775 1306642445325