Search a number
-
+
20542302134004 = 22372523372717923
BaseRepresentation
bin1001010101110111000001…
…00111110001111011110100
32200201211021100121021120010
410222323200213301323310
510143031113321242004
6111405000414540220
74220063253062100
oct452734047617364
980654240537503
1020542302134004
1165aaa3a021962
12237929b507670
13b60191425621
145103776b4900
15259544644a89
hex12aee09f1ef4

20542302134004 has 144 divisors (see below), whose sum is σ = 55882395276288. Its totient is φ = 5856108414912.

The previous prime is 20542302133987. The next prime is 20542302134009. The reversal of 20542302134004 is 40043120324502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20542302134009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146132987 + ... + 1146150909.

Almost surely, 220542302134004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20542302134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941197638144).

20542302134004 is an abundant number, since it is smaller than the sum of its proper divisors (35340093142284).

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

20542302134004 is a wasteful number, since it uses less digits than its factorization.

20542302134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22194 (or 22185 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 20542302134004 its reverse (40043120324502), we get a palindrome (60585422458506).

The spelling of 20542302134004 in words is "twenty trillion, five hundred forty-two billion, three hundred two million, one hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 523 588 1046 1569 2092 3138 3661 3727 6276 7322 7454 10983 11181 14644 14908 17923 21966 22362 25627 26089 35846 43932 44724 51254 52178 53769 71692 76881 78267 102508 104356 107538 125461 153762 156534 182623 215076 250922 307524 313068 365246 376383 501844 547869 730492 752766 878227 1095738 1505532 1756454 1949221 2191476 2634681 3512908 3898442 5269362 5847663 7796884 9373729 10538724 11695326 13644547 18747458 23390652 27289094 28121187 37494916 40933641 54578188 56242374 65616103 66799021 81867282 95511829 112484748 131232206 133598042 163734564 191023658 196848309 200397063 262464412 267196084 286535487 382047316 393696618 400794126 459312721 467593147 573070974 787393236 801588252 918625442 935186294 1146141948 1377938163 1402779441 1837250884 1870372588 2755876326 2805558882 3273152029 5511752652 5611117764 6546304058 9819456087 13092608116 19638912174 34935887983 39277824348 69871775966 104807663949 139743551932 209615327898 244551215881 419230655796 489102431762 733653647643 978204863524 1467307295286 1711858511167 2934614590572 3423717022334 5135575533501 6847434044668 10271151067002 20542302134004