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161284126458 = 237132959172643
BaseRepresentation
bin1001011000110101001…
…0000111011011111010
3120102022011112112100010
42112031102013123322
510120302214021313
6202032022322350
714436525312060
oct2261522073372
9512264475303
10161284126458
11624447593a4
12273118893b6
1312294307770
147b402a2030
1542de5944c3
hex258d4876fa

161284126458 has 128 divisors (see below), whose sum is σ = 417660364800. Its totient is φ = 40373367552.

The previous prime is 161284126397. The next prime is 161284126463. The reversal of 161284126458 is 854621482161.

161284126458 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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, 847885 + ... + 1020527.

It is an arithmetic number, because the mean of its divisors is an integer number (3262971600).

Almost surely, 2161284126458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161284126458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208830182400).

161284126458 is an abundant number, since it is smaller than the sum of its proper divisors (256376238342).

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

161284126458 is a wasteful number, since it uses less digits than its factorization.

161284126458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172756.

The product of its digits is 737280, while the sum is 48.

The spelling of 161284126458 in words is "one hundred sixty-one billion, two hundred eighty-four million, one hundred twenty-six thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 59 78 87 91 118 174 177 182 203 273 354 377 406 413 546 609 754 767 826 1131 1218 1239 1534 1711 2262 2301 2478 2639 3422 4602 5133 5278 5369 7917 10266 10738 11977 15834 16107 22243 23954 32214 35931 44486 66729 71862 133458 155701 172643 311402 345286 467103 517929 934206 1035858 1208501 2244359 2417002 3625503 4488718 5006647 6733077 7251006 10013294 10185937 13466154 15019941 15710513 20371874 30039882 30557811 31421026 35046529 47131539 61115622 65086411 70093058 71301559 94263078 105139587 130172822 132417181 142603118 195259233 210279174 213904677 264834362 295392173 390518466 397251543 427809354 455604877 590784346 794503086 886176519 911209754 926920267 1366814631 1772353038 1853840534 2067745211 2733629262 2780760801 3840098249 4135490422 5561521602 6203235633 7680196498 11520294747 12406471266 23040589494 26880687743 53761375486 80642063229 161284126458