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166768105884 = 2234712717913007
BaseRepresentation
bin1001101101010000100…
…1110101100110011100
3120221110100121112212020
42123110021311212130
510213020113342014
6204340123140140
715022445340222
oct2332411654634
9527410545766
10166768105884
11647a92802a6
12283a2374650
13129594cc3c3
148100748b12
154510c4c1a9
hex26d427599c

166768105884 has 96 divisors (see below), whose sum is σ = 402802606080. Its totient is φ = 53672536512.

The previous prime is 166768105871. The next prime is 166768105891. The reversal of 166768105884 is 488501867661.

It is a happy number.

166768105884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1667681058842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 12814909 + ... + 12827915.

It is an arithmetic number, because the mean of its divisors is an integer number (4195860480).

Almost surely, 2166768105884 is an apocalyptic number.

It is an amenable number.

166768105884 is an abundant number, since it is smaller than the sum of its proper divisors (236034500196).

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

166768105884 is a wasteful number, since it uses less digits than its factorization.

166768105884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367 (or 13365 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 166768105884 in words is "one hundred sixty-six billion, seven hundred sixty-eight million, one hundred five thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 47 94 127 141 179 188 254 282 358 381 508 537 564 716 762 1074 1524 2148 5969 8413 11938 13007 16826 17907 22733 23876 25239 26014 33652 35814 39021 45466 50478 52028 68199 71628 78042 90932 100956 136398 156084 272796 611329 1068451 1222658 1651889 1833987 2136902 2328253 2445316 3205353 3303778 3667974 4273804 4656506 4955667 6410706 6607556 6984759 7335948 9313012 9911334 12821412 13969518 19822668 27939036 77638783 109427891 155277566 218855782 232916349 295688131 310555132 328283673 437711564 465832698 591376262 656567346 887064393 931665396 1182752524 1313134692 1774128786 3548257572 13897342157 27794684314 41692026471 55589368628 83384052942 166768105884