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164420931 = 33112713921
BaseRepresentation
bin10011100110011…
…01110101000011
3102110101110010010
421303031311003
5314042432211
624152040003
74034361213
oct1163156503
9373343103
10164420931
11848a1974
1247093003
13280aaabc
1417ba0243
15e67c4a6
hex9ccdd43

164420931 has 16 divisors (see below), whose sum is σ = 228098048. Its totient is φ = 105235200.

The previous prime is 164420929. The next prime is 164420939. The reversal of 164420931 is 139024461.

It is not a de Polignac number, because 164420931 - 21 = 164420929 is a prime.

It is a super-3 number, since 3×1644209313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164420939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4851 + ... + 18771.

It is an arithmetic number, because the mean of its divisors is an integer number (14256128).

Almost surely, 2164420931 is an apocalyptic number.

164420931 is a deficient number, since it is larger than the sum of its proper divisors (63677117).

164420931 is a wasteful number, since it uses less digits than its factorization.

164420931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14082.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 164420931 is about 12822.6725373457. The cubic root of 164420931 is about 547.8382705559.

The spelling of 164420931 in words is "one hundred sixty-four million, four hundred twenty thousand, nine hundred thirty-one".

Divisors: 1 3 31 93 127 381 3937 11811 13921 41763 431551 1294653 1767967 5303901 54806977 164420931