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1685343706137 = 3272131919380167
BaseRepresentation
bin11000100001100110010…
…100000001110000011001
312222010011111111221201100
4120201212110001300121
5210103040442044022
63330123004342013
7232522250064600
oct30414624016031
95863144457640
101685343706137
1159a828649033
1223276a244909
13c2c0917ac40
145b7dd036a37
152dc8dc9d1ac
hex18866501c19

1685343706137 has 144 divisors (see below), whose sum is σ = 3226851788160. Its totient is φ = 837810376704.

The previous prime is 1685343706129. The next prime is 1685343706157. The reversal of 1685343706137 is 7316073435861.

1685343706137 is a `hidden beast` number, since 1 + 6 + 8 + 534 + 3 + 70 + 6 + 1 + 37 = 666.

It is not a de Polignac number, because 1685343706137 - 23 = 1685343706129 is a prime.

It is a super-2 number, since 2×16853437061372 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1685343706117) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20982828 + ... + 21062994.

Almost surely, 21685343706137 is an apocalyptic number.

It is an amenable number.

1685343706137 is a deficient number, since it is larger than the sum of its proper divisors (1541508082023).

1685343706137 is a wasteful number, since it uses less digits than its factorization.

1685343706137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80412 (or 80402 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 1685343706137 in words is "one trillion, six hundred eighty-five billion, three hundred forty-three million, seven hundred six thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 13 19 21 39 49 57 63 91 117 133 147 171 193 247 273 399 441 579 637 741 819 931 1197 1351 1729 1737 1911 2223 2509 2793 3667 4053 5187 5733 7527 8379 9457 11001 12103 12159 15561 17563 22581 25669 28371 33003 36309 47671 52689 77007 80167 85113 108927 122941 143013 158067 179683 231021 240501 333697 368823 429039 539049 561169 721503 1001091 1042171 1106469 1523173 1617147 1683507 2335879 3003273 3126513 3928183 4569519 5050521 7007637 7295197 9379539 10662211 11784549 13708557 15472231 19801249 21022911 21885591 31986633 35353647 46416693 51066379 59403747 65656773 74635477 95959899 108305617 138608743 139250079 153199137 178211241 201139003 223906431 293972389 324916851 415826229 459597411 603417009 671719293 758139319 881917167 970261201 974750553 1247478687 1407973021 1810251027 2057806723 2274417957 2645751501 2910783603 3821641057 4223919063 6173420169 6823253871 8732350809 9855811147 11464923171 12671757189 14404647061 18520260507 26751487399 29567433441 34394769513 43213941183 80254462197 88702300323 129641823549 187260411793 240763386591 561781235379 1685343706137