Search a number
-
+
9804119109408 = 25321313381195697
BaseRepresentation
bin1000111010101011001100…
…0010010110111100100000
31021201021010220210000011200
42032222303002112330200
52241112313443000113
632503541121441200
72031216132265521
oct216526302267440
937637126700150
109804119109408
11313a9a370a778
12112412b7a0200
135616a83324c0
1425c744128848
15120063420873
hex8eab3096f20

9804119109408 has 144 divisors (see below), whose sum is σ = 30027512072376. Its totient is φ = 3016411176960.

The previous prime is 9804119109391. The next prime is 9804119109553. The reversal of 9804119109408 is 8049019114089.

9804119109408 is a `hidden beast` number, since 9 + 8 + 0 + 41 + 191 + 0 + 9 + 408 = 666.

It is a Cunningham number, because it is equal to 31311532-1.

It can be written as a sum of positive squares in 4 ways, for example, as 2915446971024 + 6888672138384 = 1707468^2 + 2624628^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×98041191094082 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50000616 + ... + 50196312.

Almost surely, 29804119109408 is an apocalyptic number.

It is an amenable number.

9804119109408 is an abundant number, since it is smaller than the sum of its proper divisors (20223392962968).

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

9804119109408 is a wasteful number, since it uses less digits than its factorization.

9804119109408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209107 (or 209096 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 9804119109408 in words is "nine trillion, eight hundred four billion, one hundred nineteen million, one hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 13381 26762 40143 53524 80286 107048 120429 160572 173953 195697 214096 240858 321144 347906 391394 428192 481716 521859 587091 642288 695812 782788 963432 1043718 1174182 1284576 1391624 1565576 1565577 1761273 1926864 2087436 2348364 2544061 2783248 3131152 3131154 3522546 3853728 4174872 4696728 5088122 5566496 6262304 6262308 7045092 7632183 8349744 9393456 10176244 12524616 14090184 15264366 16699488 18786912 20352488 22896549 25049232 28180368 30528732 40704976 45793098 50098464 56360736 61057464 81409952 91586196 122114928 183172392 244229856 366344784 732689568 2618621557 5237243114 7855864671 10474486228 15711729342 20948972456 23567594013 31423458684 34042080241 41897944912 47135188026 62846917368 68084160482 83795889824 94270376052 102126240723 125693834736 136168320964 188540752104 204252481446 251387669472 272336641928 306378722169 377081504208 408504962892 544673283856 612757444338 754163008416 817009925784 1089346567712 1225514888676 1634019851568 2451029777352 3268039703136 4902059554704 9804119109408