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166014672 = 2433125961
BaseRepresentation
bin10011110010100…
…10111011010000
3102120101102022120
421321102323100
5314444432142
624250134240
74054046535
oct1171227320
9376342276
10166014672
118579030a
1247721380
1328518345
1418096d8c
15e8947ec
hex9e52ed0

166014672 has 120 divisors (see below), whose sum is σ = 458051040. Its totient is φ = 51782400.

The previous prime is 166014659. The next prime is 166014689. The reversal of 166014672 is 276410661.

166014672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 2721522 + ... + 2721582.

It is an arithmetic number, because the mean of its divisors is an integer number (3817092).

Almost surely, 2166014672 is an apocalyptic number.

166014672 is a gapful number since it is divisible by the number (12) 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 166014672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229025520).

166014672 is an abundant number, since it is smaller than the sum of its proper divisors (292036368).

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

166014672 is a wasteful number, since it uses less digits than its factorization.

166014672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 166014672 is about 12884.6680981700. The cubic root of 166014672 is about 549.6026573651.

The spelling of 166014672 in words is "one hundred sixty-six million, fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 59 61 62 93 118 122 124 177 183 186 236 244 248 354 366 372 472 488 496 708 732 744 944 961 976 1416 1464 1488 1829 1891 1922 2832 2883 2928 3599 3658 3782 3844 5487 5673 5766 7198 7316 7564 7688 10797 10974 11346 11532 14396 14632 15128 15376 21594 21948 22692 23064 28792 29264 30256 43188 43896 45384 46128 56699 57584 58621 86376 87792 90768 111569 113398 117242 170097 172752 175863 223138 226796 234484 334707 340194 351726 446276 453592 468968 669414 680388 703452 892552 907184 937936 1338828 1360776 1406904 1785104 2677656 2721552 2813808 3458639 5355312 6917278 10375917 13834556 20751834 27669112 41503668 55338224 83007336 166014672