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164994544 = 241113371949
BaseRepresentation
bin10011101010110…
…01110111110000
3102111110120222001
421311121313300
5314214311134
624212223344
74042300441
oct1165316760
9374416861
10164994544
1185153930
124730ab54
132824bc10
1417cad2c8
15e742414
hex9d59df0

164994544 has 80 divisors (see below), whose sum is σ = 385912800. Its totient is φ = 67322880.

The previous prime is 164994521. The next prime is 164994551. The reversal of 164994544 is 445499461.

It is a junction number, because it is equal to n+sod(n) for n = 164994494 and 164994503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83682 + ... + 85630.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2164994544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164994544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192956400).

164994544 is an abundant number, since it is smaller than the sum of its proper divisors (220918256).

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

164994544 is a wasteful number, since it uses less digits than its factorization.

164994544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2012 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 164994544 is about 12845.0202023975. The cubic root of 164994544 is about 548.4746097010.

The spelling of 164994544 in words is "one hundred sixty-four million, nine hundred ninety-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 208 286 296 407 481 572 592 814 962 1144 1628 1924 1949 2288 3256 3848 3898 5291 6512 7696 7796 10582 15592 21164 21439 25337 31184 42328 42878 50674 72113 84656 85756 101348 144226 171512 202696 278707 288452 343024 405392 557414 576904 793243 937469 1114828 1153808 1586486 1874938 2229656 3172972 3749876 4459312 6345944 7499752 10312159 12691888 14999504 20624318 41248636 82497272 164994544