Search a number
-
+
325240901653446 = 23383971559479861
BaseRepresentation
bin100100111110011100000110…
…0011010001101001111000110
31120122120201121122111011221000
41021330320030122031033012
5320112221331310402241
63111421335121234130
7125335610511525162
oct11174701432151706
91518521548434830
10325240901653446
11946a4989a74899
1230589a47a92946
1310c631158a667c
145a45a5a755ca2
1527903e00c8eb6
hex127ce0c68d3c6

325240901653446 has 128 divisors (see below), whose sum is σ = 739481929804800. Its totient is φ = 105935029908480.

The previous prime is 325240901653391. The next prime is 325240901653463. The reversal of 325240901653446 is 644356109042523.

325240901653446 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 4 + 0 + 90 + 16 + 534 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 325240901653392 and 325240901653401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677541556 + ... + 678021416.

It is an arithmetic number, because the mean of its divisors is an integer number (5777202576600).

Almost surely, 2325240901653446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325240901653446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369740964902400).

325240901653446 is an abundant number, since it is smaller than the sum of its proper divisors (414241028151354).

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

325240901653446 is a wasteful number, since it uses less digits than its factorization.

325240901653446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481611 (or 481605 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 325240901653446 in words is "three hundred twenty-five trillion, two hundred forty billion, nine hundred one million, six hundred fifty-three thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 83 97 166 194 249 291 498 582 747 873 1494 1559 1746 2241 2619 3118 4482 4677 5238 8051 9354 14031 16102 24153 28062 42093 48306 72459 84186 129397 144918 151223 217377 258794 302446 388191 434754 453669 479861 776382 907338 959722 1164573 1361007 1439583 2329146 2722014 2879166 3493719 4083021 4318749 6987438 8166042 8637498 12551509 12956247 25103018 25912494 37654527 39828463 46546517 75309054 79656926 93093034 112963581 119485389 139639551 225927162 238970778 279279102 338890743 358456167 418918653 677781486 716912334 748103299 837837306 1075368501 1256755959 1496206598 2150737002 2244309897 2513511918 3863360911 4488619794 6732929691 7726721822 11590082733 13465859382 20198789073 23180165466 34770248199 40397578146 62092573817 69540496398 72566020003 104310744597 124185147634 145132040006 186277721451 208621489194 217698060009 372555442902 435396120018 558833164353 653094180027 1117666328706 1306188360054 1676499493059 1959282540081 3352998986118 3918565080162 6022979660249 12045959320498 18068938980747 36137877961494 54206816942241 108413633884482 162620450826723 325240901653446