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166516064079872 = 2121323539132851
BaseRepresentation
bin100101110111001000001010…
…110110010101000000000000
3210211120210001210212010020212
4211313020022312111000000
5133311144344401023442
61350052231312253252
750034250204120613
oct4567101266250000
9724523053763225
10166516064079872
114906a0801210a1
1216813b18b41228
1371bb5223031a0
142d195c5c1017a
15143b6e9390a82
hex97720ad95000

166516064079872 has 104 divisors (see below), whose sum is σ = 358624137637920. Its totient is φ = 76849724620800.

The previous prime is 166516064079863. The next prime is 166516064079899. The reversal of 166516064079872 is 278970460615661.

166516064079872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1253338247 + ... + 1253471097.

Almost surely, 2166516064079872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166516064079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179312068818960).

166516064079872 is an abundant number, since it is smaller than the sum of its proper divisors (192108073558048).

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

166516064079872 is a wasteful number, since it uses less digits than its factorization.

166516064079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156427 (or 156405 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 68.

The spelling of 166516064079872 in words is "one hundred sixty-six trillion, five hundred sixteen billion, sixty-four million, seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 13312 23539 26624 47078 53248 94156 132851 188312 265702 306007 376624 531404 612014 753248 1062808 1224028 1506496 1727063 2125616 2448056 3012992 3454126 4251232 4896112 6025984 6908252 8502464 9792224 12051968 13816504 17004928 19584448 24103936 27633008 34009856 39168896 48207872 55266016 68019712 78337792 96415744 110532032 136039424 156675584 221064064 272078848 313351168 442128128 544157696 626702336 884256256 1253404672 1768512512 3127179689 3537025024 6254359378 7074050048 12508718756 25017437512 40653335957 50034875024 81306671914 100069750048 162613343828 200139500096 325226687656 400279000192 650453375312 800558000384 1300906750624 1601116000768 2601813501248 3202232001536 5203627002496 6404464003072 10407254004992 12808928006144 20814508009984 41629016019968 83258032039936 166516064079872