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164212672 = 2613197371
BaseRepresentation
bin10011100100110…
…10111111000000
3102102222212102211
421302122333000
5314014301142
624143351504
74032533101
oct1162327700
9372885384
10164212672
118476a458
1246bb2594
1328037080
1417b483a8
15e63a917
hex9c9afc0

164212672 has 28 divisors (see below), whose sum is σ = 350927416. Its totient is φ = 75790080.

The previous prime is 164212669. The next prime is 164212681. The reversal of 164212672 is 276212461.

164212672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1642126723 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97854 + ... + 99517.

It is an arithmetic number, because the mean of its divisors is an integer number (12533122).

Almost surely, 2164212672 is an apocalyptic number.

It is an amenable number.

164212672 is an abundant number, since it is smaller than the sum of its proper divisors (186714744).

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

164212672 is a wasteful number, since it uses less digits than its factorization.

164212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197396 (or 197386 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 164212672 is about 12814.5492312449. The cubic root of 164212672 is about 547.6068716820.

The spelling of 164212672 in words is "one hundred sixty-four million, two hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 197371 394742 789484 1578968 2565823 3157936 5131646 6315872 10263292 12631744 20526584 41053168 82106336 164212672