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11904518808 = 2334713201881
BaseRepresentation
bin10110001011001000…
…01000101010011000
31010201122110012210000
423011210020222120
5143340024100213
65245135053000
7601001511630
oct130544105230
933648405700
1011904518808
1150598771a6
122382971160
131179443a90
1480d0856c0
1549a1aec73
hex2c5908a98

11904518808 has 160 divisors (see below), whose sum is σ = 41038572960. Its totient is φ = 3139637760.

The previous prime is 11904518789. The next prime is 11904518819. The reversal of 11904518808 is 80881540911.

11904518808 is a `hidden beast` number, since 1 + 190 + 451 + 8 + 8 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41973 + ... + 159908.

It is an arithmetic number, because the mean of its divisors is an integer number (256491081).

Almost surely, 211904518808 is an apocalyptic number.

11904518808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11904518808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519286480).

11904518808 is an abundant number, since it is smaller than the sum of its proper divisors (29134054152).

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

11904518808 is a wasteful number, since it uses less digits than its factorization.

11904518808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201919 (or 201906 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 11904518808 in words is "eleven billion, nine hundred four million, five hundred eighteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 58968 201881 403762 605643 807524 1211286 1413167 1615048 1816929 2422572 2624453 2826334 3633858 4239501 4845144 5248906 5450787 5652668 7267716 7873359 8479002 10497812 10901574 11305336 12718503 14535432 15746718 16352361 16958004 18371171 20995624 21803148 23620077 25437006 31493436 32704722 33916008 36742342 38155509 43606296 47240154 50874012 55113513 62986872 65409444 70860231 73484684 76311018 94480308 101748024 110227026 114466527 130818888 141720462 146969368 152622036 165340539 188960616 212580693 220454052 228933054 283440924 305244072 330681078 425161386 440908104 457866108 496021617 566881848 661362156 850322772 915732216 992043234 1322724312 1488064851 1700645544 1984086468 2976129702 3968172936 5952259404 11904518808