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107161722468 = 2234418066977
BaseRepresentation
bin110001111001101010…
…1100001111001100100
3101020121021200112120000
41203303111201321210
53223431400104333
6121121315341300
710512365416563
oct1436325417144
9336537615500
10107161722468
11414a0aa91a9
12189282b1830
13a14a48a148
145288277bda
152bc2d4b713
hex18f3561e64

107161722468 has 60 divisors (see below), whose sum is σ = 286974675372. Its totient is φ = 34849336320.

The previous prime is 107161722457. The next prime is 107161722491. The reversal of 107161722468 is 864227161701.

107161722468 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 617 + 2 + 24 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62231289444 + 44930433024 = 249462^2 + 211968^2 .

It is a super-2 number, since 2×1071617224682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4020205 + ... + 4046772.

Almost surely, 2107161722468 is an apocalyptic number.

107161722468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107161722468 is an abundant number, since it is smaller than the sum of its proper divisors (179812952904).

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

107161722468 is a wasteful number, since it uses less digits than its factorization.

107161722468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067034 (or 8067023 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 107161722468 in words is "one hundred seven billion, one hundred sixty-one million, seven hundred twenty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 8066977 16133954 24200931 32267908 48401862 72602793 96803724 145205586 217808379 290411172 330746057 435616758 653425137 661492114 871233516 992238171 1306850274 1322984228 1984476342 2613700548 2976714513 3968952684 5953429026 8930143539 11906858052 17860287078 26790430617 35720574156 53580861234 107161722468