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166457751168 = 2731922814933
BaseRepresentation
bin1001101100000110100…
…1111011011010000000
3120220122201121220020010
42123001221323122000
510211401141014133
6204245235144520
715011656353042
oct2330151733200
9526581556203
10166457751168
116465a0741a5
1228316445140
131290a117467
1480b143ba92
1544e3895263
hex26c1a7b680

166457751168 has 64 divisors (see below), whose sum is σ = 465424653600. Its totient is φ = 52565603328.

The previous prime is 166457751151. The next prime is 166457751169. The reversal of 166457751168 is 861157754661.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (166457751169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11400171 + ... + 11414762.

Almost surely, 2166457751168 is an apocalyptic number.

It is an amenable number.

166457751168 is an abundant number, since it is smaller than the sum of its proper divisors (298966902432).

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

166457751168 is a wasteful number, since it uses less digits than its factorization.

166457751168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22814969 (or 22814957 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 57.

The spelling of 166457751168 in words is "one hundred sixty-six billion, four hundred fifty-seven million, seven hundred fifty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 22814933 45629866 68444799 91259732 136889598 182519464 273779196 365038928 433483727 547558392 730077856 866967454 1095116784 1300451181 1460155712 1733934908 2190233568 2600902362 2920311424 3467869816 4380467136 5201804724 6935739632 8760934272 10403609448 13871479264 20807218896 27742958528 41614437792 55485917056 83228875584 166457751168