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166214395116 = 223371119987301
BaseRepresentation
bin1001101011001100100…
…1100110010011101100
3120220000202201010111000
42122303021212103230
510210401341120431
6204205143200300
715002643022140
oct2326311462354
9526022633430
10166214395116
11645447691a0
1228268a46090
131289b88cbb3
14808adb1220
1544cc3249e6
hex26b32664ec

166214395116 has 96 divisors (see below), whose sum is σ = 537258677760. Its totient is φ = 43172568000.

The previous prime is 166214395091. The next prime is 166214395141. The reversal of 166214395116 is 611593412661.

166214395116 is a `hidden beast` number, since 1 + 6 + 621 + 4 + 3 + 9 + 5 + 1 + 16 = 666.

166214395116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166214395091) and next prime (166214395141).

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 31 ways as a sum of consecutive naturals, for example, 9985335 + ... + 10001966.

It is an arithmetic number, because the mean of its divisors is an integer number (5596444560).

Almost surely, 2166214395116 is an apocalyptic number.

It is an amenable number.

166214395116 is an abundant number, since it is smaller than the sum of its proper divisors (371044282644).

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

166214395116 is a wasteful number, since it uses less digits than its factorization.

166214395116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19987332 (or 19987324 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 166214395116 in words is "one hundred sixty-six billion, two hundred fourteen million, three hundred ninety-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 19987301 39974602 59961903 79949204 119923806 139911107 179885709 219860311 239847612 279822214 359771418 419733321 439720622 539657127 559644428 659580933 719542836 839466642 879441244 1079314254 1259199963 1319161866 1539022177 1678933284 1978742799 2158628508 2518399926 2638323732 3078044354 3777599889 3957485598 4617066531 5036799852 5936228397 6156088708 7555199778 7914971196 9234133062 11872456794 13851199593 15110399556 18468266124 23744913588 27702399186 41553598779 55404798372 83107197558 166214395116