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166420743676660 = 2251127721211128749
BaseRepresentation
bin100101110101101111011001…
…010011110110001011110100
3210211020200000202200220222201
4211311233121103312023310
5133303114140340123120
61345540344553234244
750024334112061464
oct4565573123661364
9724220022626881
10166420743676660
1149032706253360
12167b9556402984
1371b254115c735
142d14b42489ba4
151438ebadbd40a
hex975bd94f62f4

166420743676660 has 96 divisors (see below), whose sum is σ = 382652177040000. Its totient is φ = 60294851366400.

The previous prime is 166420743676631. The next prime is 166420743676667. The reversal of 166420743676660 is 66676347024661.

It is a junction number, because it is equal to n+sod(n) for n = 166420743676592 and 166420743676601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166420743676667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292533966 + ... + 1292662714.

It is an arithmetic number, because the mean of its divisors is an integer number (3985960177500).

Almost surely, 2166420743676660 is an apocalyptic number.

166420743676660 is a gapful number since it is divisible by the number (10) 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 166420743676660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191326088520000).

166420743676660 is an abundant number, since it is smaller than the sum of its proper divisors (216231433363340).

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

166420743676660 is a wasteful number, since it uses less digits than its factorization.

166420743676660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150257 (or 150255 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 64.

The spelling of 166420743676660 in words is "one hundred sixty-six trillion, four hundred twenty billion, seven hundred forty-three million, six hundred seventy-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 554 1108 1385 2770 3047 5540 6094 12188 15235 21211 30470 42422 60940 84844 106055 128749 212110 233321 257498 424220 466642 514996 643745 933284 1166605 1287490 1416239 2333210 2574980 2832478 4666420 5664956 5875447 7081195 11750894 14162390 23501788 28324780 29377235 35663473 58754470 64629917 71326946 117508940 129259834 142653892 178317365 258519668 323149585 356634730 392298203 646299170 713269460 784596406 1292598340 1569192812 1961491015 2730895039 3922982030 5461790078 7845964060 10923580156 13654475195 27308950390 30039845429 54617900780 60079690858 120159381716 150199227145 300398454290 600796908580 756457925803 1512915851606 3025831703212 3782289629015 7564579258030 8321037183833 15129158516060 16642074367666 33284148735332 41605185919165 83210371838330 166420743676660