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166585550451408 = 2435113895097981
BaseRepresentation
bin100101111000001000111000…
…100011110011001011010000
3210211211102102102201112100000
4211320020320203303023100
5133313314201403421113
61350144202334330000
750042260143412314
oct4570107043631320
9724742372645300
10166585550451408
1149096598398530
121682548b959900
1371c4c4720346a
142d1cad8523b44
15143d414845373
hex9782388f32d0

166585550451408 has 120 divisors (see below), whose sum is σ = 527427427546656. Its totient is φ = 50480469820800.

The previous prime is 166585550451389. The next prime is 166585550451413. The reversal of 166585550451408 is 804154055585661.

166585550451408 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 85 + 5 + 504 + 5 + 1 + 40 + 8 = 666.

It is a super-2 number, since 2×1665855504514082 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1947506223 + ... + 1947591758.

Almost surely, 2166585550451408 is an apocalyptic number.

166585550451408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166585550451408 is an abundant number, since it is smaller than the sum of its proper divisors (360841877095248).

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

166585550451408 is a wasteful number, since it uses less digits than its factorization.

166585550451408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895098015 (or 3895097997 counting only the distinct ones).

The product of its (nonzero) digits is 115200000, while the sum is 63.

The spelling of 166585550451408 in words is "one hundred sixty-six trillion, five hundred eighty-five billion, five hundred fifty million, four hundred fifty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 10692 14256 21384 42768 3895097981 7790195962 11685293943 15580391924 23370587886 31160783848 35055881829 42846077791 46741175772 62321567696 70111763658 85692155582 93482351544 105167645487 128538233373 140223527316 171384311164 186964703088 210335290974 257076466746 280447054632 315502936461 342768622328 385614700119 420670581948 514152933492 560894109264 631005872922 685537244656 771229400238 841341163896 946508809383 1028305866984 1156844100357 1262011745844 1542458800476 1682682327792 1893017618766 2056611733968 2313688200714 2524023491688 3084917600952 3470532301071 3786035237532 4627376401428 5048046983376 6169835201904 6941064602142 7572070475064 9254752802856 10411596903213 13882129204284 15144140950128 18509505605712 20823193806426 27764258408568 41646387612852 55528516817136 83292775225704 166585550451408