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23161166208 = 273253379343
BaseRepresentation
bin10101100100100000…
…110101100110000000
32012210010211011001200
4111210200311212000
5334413224304313
614350132101200
71446645443625
oct254440654600
965703734050
1023161166208
119905968a84
1245a4764800
13225159a69b
14119a08234c
15908547b73
hex564835980

23161166208 has 96 divisors (see below), whose sum is σ = 67906369440. Its totient is φ = 7574701056.

The previous prime is 23161166113. The next prime is 23161166219. The reversal of 23161166208 is 80266116132.

It is a happy number.

23161166208 is a `hidden beast` number, since 2 + 3 + 16 + 1 + 16 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×231611662082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128616 + ... + 250727.

It is an arithmetic number, because the mean of its divisors is an integer number (707358015).

Almost surely, 223161166208 is an apocalyptic number.

It is an amenable number.

23161166208 is an abundant number, since it is smaller than the sum of its proper divisors (44745203232).

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

23161166208 is a wasteful number, since it uses less digits than its factorization.

23161166208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379416 (or 379401 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 23161166208 in words is "twenty-three billion, one hundred sixty-one million, one hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2544 3392 3816 5088 6784 7632 10176 15264 20352 30528 61056 379343 758686 1138029 1517372 2276058 3034744 3414087 4552116 6069488 6828174 9104232 12138976 13656348 18208464 20105179 24277952 27312696 36416928 40210358 48555904 54625392 60315537 72833856 80420716 109250784 120631074 145667712 160841432 180946611 218501568 241262148 321682864 361893222 437003136 482524296 643365728 723786444 965048592 1286731456 1447572888 1930097184 2573462912 2895145776 3860194368 5790291552 7720388736 11580583104 23161166208