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166197274929 = 38727192
BaseRepresentation
bin1001101011001000100…
…0010010100100110001
3120212222120111100000000
42122302020102210301
510210333000244204
6204203332220213
715002344346100
oct2326210224461
9525876440000
10166197274929
1164536035584
122826316a669
13128981774ca
1480889d6037
1544caa92039
hex26b2212931

166197274929 has 81 divisors (see below), whose sum is σ = 290386427097. Its totient is φ = 94837785336.

The previous prime is 166197274897. The next prime is 166197274931. The reversal of 166197274929 is 929472791661.

The square root of 166197274929 is 407673.

It is a perfect power (a square), and thus also a powerful number.

166197274929 is a `hidden beast` number, since 1 + 6 + 619 + 7 + 2 + 7 + 4 + 9 + 2 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 166197274929 - 25 = 166197274897 is a prime.

It is a super-2 number, since 2×1661972749292 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (20575296) is a multiple of the sum of its prime divisors (729).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (166197274979) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 231150232 + ... + 231150950.

Almost surely, 2166197274929 is an apocalyptic number.

166197274929 is the 407673-rd square number.

166197274929 is the 203837-th centered octagonal number.

It is an amenable number.

166197274929 is a deficient number, since it is larger than the sum of its proper divisors (124189152168).

166197274929 is an frugal number, since it uses more digits than its factorization.

166197274929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 729 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 166197274929 in words is "one hundred sixty-six billion, one hundred ninety-seven million, two hundred seventy-four thousand, nine hundred twenty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 719 729 1323 1701 2157 2187 3969 5033 5103 6471 6561 11907 15099 15309 19413 35231 35721 45297 45927 58239 105693 107163 135891 174717 317079 321489 407673 516961 524151 951237 1223019 1550883 1572453 2853711 3618727 3669057 4652649 4717359 8561133 10856181 11007171 13957947 25331089 25683399 32568543 33021513 41873841 75993267 77050197 97705629 125621523 227979801 231150591 293116887 376864569 683939403 879350661 1130593707 2051818209 2638051983 3391781121 6155454627 7914155949 18466363881 23742467847 55399091643 166197274929