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20413154464146 = 23229438910218359
BaseRepresentation
bin1001010010000110011101…
…10100100001000110010010
32200021110220211110220002100
410221003032310201012102
510133422120020323041
6111225401304101230
74204541666022213
oct451031664410622
980243824426070
1020413154464146
116560196586004
122358258164816
13b50c4bcc6872
145080054b740a
15255ed65436b6
hex1290ced21192

20413154464146 has 96 divisors (see below), whose sum is σ = 47343705552000. Its totient is φ = 6344864596224.

The previous prime is 20413154464127. The next prime is 20413154464147. The reversal of 20413154464146 is 64146445131402.

It is a happy number.

20413154464146 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 1 + 544 + 64 + 1 + 46 = 666.

It is not an unprimeable number, because it can be changed into a prime (20413154464147) 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, 3111486 + ... + 7106873.

It is an arithmetic number, because the mean of its divisors is an integer number (493163599500).

Almost surely, 220413154464146 is an apocalyptic number.

20413154464146 is an abundant number, since it is smaller than the sum of its proper divisors (26930551087854).

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

20413154464146 is a wasteful number, since it uses less digits than its factorization.

20413154464146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218528 (or 10218525 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 20413154464146 its reverse (64146445131402), we get a palindrome (84559599595548).

The spelling of 20413154464146 in words is "twenty trillion, four hundred thirteen billion, one hundred fifty-four million, four hundred sixty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 89 129 174 178 258 261 267 387 522 534 774 801 1247 1602 2494 2581 3741 3827 5162 7482 7654 7743 11223 11481 15486 22446 22962 23229 34443 46458 68886 110983 221966 332949 665898 998847 1997694 10218359 20436718 30655077 61310154 91965231 183930462 296332411 439389437 592664822 878778874 888997233 909433951 1318168311 1777994466 1818867902 2636336622 2666991699 2728301853 3954504933 5333983398 5456603706 7909009866 8184905559 12742293673 16369811118 25484587346 26373584579 38226881019 39105659893 52747169158 76453762038 78211319786 79120753737 114680643057 117316979679 158241507474 229361286114 234633959358 237362261211 351950939037 474724522422 703901878074 1134064136897 2268128273794 3402192410691 6804384821382 10206577232073 20413154464146