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3882310539696 = 243373320895869
BaseRepresentation
bin111000011111101011101…
…111011001100110110000
3111202010220220012200001000
4320133223233121212300
51002101432444232241
612131301524242000
7550326163050051
oct70375357314660
914663826180030
103882310539696
11126752a0a7196
12528501b40300
1322213c506924
14d5c94c0a728
156aec3ca8eb6
hex387ebbd99b0

3882310539696 has 160 divisors (see below), whose sum is σ = 11166115928000. Its totient is φ = 1291499292672.

The previous prime is 3882310539631. The next prime is 3882310539721. The reversal of 3882310539696 is 6969350132883.

3882310539696 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 3 + 1 + 0 + 539 + 6 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661491450 + ... + 661497318.

It is an arithmetic number, because the mean of its divisors is an integer number (69788224550).

Almost surely, 23882310539696 is an apocalyptic number.

3882310539696 is a gapful number since it is divisible by the number (36) 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 3882310539696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583057964000).

3882310539696 is an abundant number, since it is smaller than the sum of its proper divisors (7283805388304).

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

3882310539696 is a wasteful number, since it uses less digits than its factorization.

3882310539696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8708 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3882310539696 in words is "three trillion, eight hundred eighty-two billion, three hundred ten million, five hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 733 1466 2089 2199 2932 4178 4398 5864 5869 6267 6597 8356 8796 11728 11738 12534 13194 16712 17592 17607 18801 19791 23476 25068 26388 33424 35184 35214 37602 39582 46952 50136 52776 52821 56403 70428 75204 79164 93904 100272 105552 105642 112806 140856 150408 158328 158463 211284 225612 281712 300816 316656 316926 422568 451224 633852 845136 902448 1267704 1531237 2535408 3062474 4301977 4593711 6124948 8603954 9187422 12249896 12260341 12905931 13781133 17207908 18374844 24499792 24520682 25811862 27562266 34415816 36749688 36781023 38717793 41343399 49041364 51623724 55124532 68831632 73499376 73562046 77435586 82686798 98082728 103247448 110249064 110343069 116153379 147124092 154871172 165373596 196165456 206494896 220498128 220686138 232306758 294248184 309742344 330747192 331029207 441372276 464613516 588496368 619484688 661494384 662058414 882744552 929227032 1324116828 1765489104 1858454064 2648233656 5296467312 8986829953 17973659906 26960489859 35947319812 53920979718 71894639624 80881469577 107841959436 143789279248 161762939154 215683918872 242644408731 323525878308 431367837744 485288817462 647051756616 970577634924 1294103513232 1941155269848 3882310539696