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20346305624136 = 23331910149085909
BaseRepresentation
bin1001010000001001111100…
…10100011011100001001000
32200001002101000120222002000
410220010332110123201020
510131323213214433021
6111134544101311000
74166654264166012
oct450047624334110
980032330528060
1020346305624136
116534902109098
122347300705460
13b4785767a62b
14504aa31b51b2
152543c28d4b26
hex12813e51b848

20346305624136 has 128 divisors (see below), whose sum is σ = 60081153840000. Its totient is φ = 6361533676800.

The previous prime is 20346305624107. The next prime is 20346305624213. The reversal of 20346305624136 is 63142650364302.

20346305624136 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 6 + 3 + 0 + 5 + 624 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20346305624091 and 20346305624100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24128451 + ... + 24957458.

It is an arithmetic number, because the mean of its divisors is an integer number (469384014375).

Almost surely, 220346305624136 is an apocalyptic number.

It is an amenable number.

20346305624136 is an abundant number, since it is smaller than the sum of its proper divisors (39734848215864).

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

20346305624136 is a wasteful number, since it uses less digits than its factorization.

20346305624136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49086044 (or 49086034 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

Adding to 20346305624136 its reverse (63142650364302), we get a palindrome (83488955988438).

The spelling of 20346305624136 in words is "twenty trillion, three hundred forty-six billion, three hundred five million, six hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 101 108 114 152 171 202 216 228 303 342 404 456 513 606 684 808 909 1026 1212 1368 1818 1919 2052 2424 2727 3636 3838 4104 5454 5757 7272 7676 10908 11514 15352 17271 21816 23028 34542 46056 51813 69084 103626 138168 207252 414504 49085909 98171818 147257727 196343636 294515454 392687272 441773181 589030908 883546362 932632271 1178061816 1325319543 1767092724 1865264542 2650639086 2797896813 3534185448 3730529084 4957676809 5301278172 5595793626 7461058168 8393690439 9915353618 10602556344 11191587252 14873030427 16787380878 19830707236 22383174504 25181071317 29746060854 33574761756 39661414472 44619091281 50362142634 59492121708 67149523512 89238182562 94195859371 100724285268 118984243416 133857273843 178476365124 188391718742 201448570536 267714547686 282587578113 356952730248 376783437484 535429095372 565175156226 753566874968 847762734339 1070858190744 1130350312452 1695525468678 2260700624904 2543288203017 3391050937356 5086576406034 6782101874712 10173152812068 20346305624136