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164007639 = 33193110313
BaseRepresentation
bin10011100011010…
…00111011010111
3102102121110012000
421301220323113
5313441221024
624135130343
74031020245
oct1161507327
9372543160
10164007639
118463a404
1246b139b3
1327c94953
1417ad3795
15e5e9cc9
hex9c68ed7

164007639 has 32 divisors (see below), whose sum is σ = 264038400. Its totient is φ = 100232640.

The previous prime is 164007637. The next prime is 164007659. The reversal of 164007639 is 936700461.

164007639 is a `hidden beast` number, since 1 + 640 + 0 + 7 + 6 + 3 + 9 = 666.

It is not a de Polignac number, because 164007639 - 21 = 164007637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164007637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10747 + ... + 21059.

It is an arithmetic number, because the mean of its divisors is an integer number (8251200).

Almost surely, 2164007639 is an apocalyptic number.

164007639 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

164007639 is a deficient number, since it is larger than the sum of its proper divisors (100030761).

164007639 is a wasteful number, since it uses less digits than its factorization.

164007639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 164007639 is about 12806.5467242344. The cubic root of 164007639 is about 547.3788660516.

The spelling of 164007639 in words is "one hundred sixty-four million, seven thousand, six hundred thirty-nine".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 1767 5301 10313 15903 30939 92817 195947 278451 319703 587841 959109 1763523 2877327 5290569 6074357 8631981 18223071 54669213 164007639