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325421242542 = 2321119285130341
BaseRepresentation
bin1001011110001001001…
…11100001100010101110
31011002222011110221200200
410233010213201202232
520312430314230132
6405255122334330
732340145631154
oct4570447414256
91132864427620
10325421242542
11116012898060
125309aaba3a6
13248c1703566
1411a7141d3d4
1586e933dd7c
hex4bc49e18ae

325421242542 has 96 divisors (see below), whose sum is σ = 809971194240. Its totient is φ = 93386520000.

The previous prime is 325421242541. The next prime is 325421242543. The reversal of 325421242542 is 245242124523.

325421242542 is a `hidden beast` number, since 3 + 2 + 54 + 21 + 2 + 42 + 542 = 666.

It is an interprime number because it is at equal distance from previous prime (325421242541) and next prime (325421242543).

It is a junction number, because it is equal to n+sod(n) for n = 325421242497 and 325421242506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325421242541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10710292 + ... + 10740632.

It is an arithmetic number, because the mean of its divisors is an integer number (8437199940).

Almost surely, 2325421242542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325421242542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404985597120).

325421242542 is an abundant number, since it is smaller than the sum of its proper divisors (484549951698).

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

325421242542 is a wasteful number, since it uses less digits than its factorization.

325421242542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33230 (or 33227 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The spelling of 325421242542 in words is "three hundred twenty-five billion, four hundred twenty-one million, two hundred forty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 2851 3762 5702 8553 17106 25659 30341 31361 51318 54169 60682 62722 91023 94083 108338 162507 182046 188166 273069 282249 325014 333751 487521 546138 564498 576479 595859 667502 975042 1001253 1152958 1191718 1729437 1787577 2002506 3003759 3458874 3575154 5188311 5362731 6007518 6341269 10376622 10725462 12682538 19023807 38047614 57071421 86502191 114142842 173004382 259506573 519013146 778519719 951524101 1557039438 1643541629 1903048202 2854572303 3287083258 4930624887 5709144606 8563716909 9861249774 14791874661 17127433818 18078957919 29583749322 36157915838 54236873757 108473747514 162710621271 325421242542