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164412501 = 31124111047
BaseRepresentation
bin10011100110010…
…11110001010101
3102110101000112220
421303023301111
5314042200001
624151532553
74034324511
oct1163136125
9373330486
10164412501
1184896600
124708a159
13280a7006
1417b9b141
15e679c36
hex9ccbc55

164412501 has 24 divisors (see below), whose sum is σ = 246856512. Its totient is φ = 97204800.

The previous prime is 164412463. The next prime is 164412541. The reversal of 164412501 is 105214461.

It is a happy number.

It is not a de Polignac number, because 164412501 - 222 = 160218197 is a prime.

It is a super-3 number, since 3×1644125013 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164412541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9360 + ... + 20406.

It is an arithmetic number, because the mean of its divisors is an integer number (10285688).

Almost surely, 2164412501 is an apocalyptic number.

164412501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164412501 is a deficient number, since it is larger than the sum of its proper divisors (82444011).

164412501 is a wasteful number, since it uses less digits than its factorization.

164412501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11102 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 164412501 is about 12822.3438185068. The cubic root of 164412501 is about 547.8289076856.

Adding to 164412501 its reverse (105214461), we get a palindrome (269626962).

The spelling of 164412501 in words is "one hundred sixty-four million, four hundred twelve thousand, five hundred one".

Divisors: 1 3 11 33 41 121 123 363 451 1353 4961 11047 14883 33141 121517 364551 452927 1336687 1358781 4010061 4982197 14946591 54804167 164412501