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164156472 = 23322922711
BaseRepresentation
bin10011100100011…
…01010000111000
3102102220000100100
421302031100320
5314011001342
624142235400
74032210204
oct1162152070
9372800310
10164156472
1184731207
1246b85b60
132801760c
1417b31b04
15e628e4c
hex9c8d438

164156472 has 72 divisors (see below), whose sum is σ = 460619640. Its totient is φ = 52812480.

The previous prime is 164156459. The next prime is 164156483. The reversal of 164156472 is 274651461.

164156472 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 5 + 647 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59197 + ... + 61907.

It is an arithmetic number, because the mean of its divisors is an integer number (6397495).

Almost surely, 2164156472 is an apocalyptic number.

164156472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164156472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230309820).

164156472 is an abundant number, since it is smaller than the sum of its proper divisors (296463168).

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

164156472 is a wasteful number, since it uses less digits than its factorization.

164156472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2745 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 164156472 is about 12812.3562235835. The cubic root of 164156472 is about 547.5443937231.

The spelling of 164156472 in words is "one hundred sixty-four million, one hundred fifty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 841 1044 1682 2088 2523 2711 3364 5046 5422 6728 7569 8133 10092 10844 15138 16266 20184 21688 24399 30276 32532 48798 60552 65064 78619 97596 157238 195192 235857 314476 471714 628952 707571 943428 1415142 1886856 2279951 2830284 4559902 5660568 6839853 9119804 13679706 18239608 20519559 27359412 41039118 54718824 82078236 164156472