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164114685 = 325717191613
BaseRepresentation
bin10011100100000…
…11000011111101
3102102210220000200
421302003003331
5314003132220
624141314113
74031644320
oct1162030375
9372726020
10164114685
1184702879
1246b65939
13280015a7
1417b207b7
15e61b890
hex9c830fd

164114685 has 96 divisors (see below), whose sum is σ = 362568960. Its totient is φ = 66852864.

The previous prime is 164114681. The next prime is 164114689. The reversal of 164114685 is 586411461.

164114685 is a `hidden beast` number, since 1 + 641 + 1 + 4 + 6 + 8 + 5 = 666.

164114685 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164114681) and next prime (164114689).

It is not a de Polignac number, because 164114685 - 22 = 164114681 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164114681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100939 + ... + 102551.

It is an arithmetic number, because the mean of its divisors is an integer number (3776760).

Almost surely, 2164114685 is an apocalyptic number.

164114685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164114685 is an abundant number, since it is smaller than the sum of its proper divisors (198454275).

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

164114685 is a wasteful number, since it uses less digits than its factorization.

164114685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1664 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 164114685 is about 12810.7253892978. The cubic root of 164114685 is about 547.4979295599.

The spelling of 164114685 in words is "one hundred sixty-four million, one hundred fourteen thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 19 21 35 45 51 57 63 85 95 105 119 133 153 171 255 285 315 323 357 399 595 665 765 855 969 1071 1197 1613 1615 1785 1995 2261 2907 4839 4845 5355 5985 6783 8065 11291 11305 14517 14535 20349 24195 27421 30647 33873 33915 56455 72585 82263 91941 101619 101745 137105 153235 169365 191947 214529 246789 275823 411315 459705 508095 520999 575841 643587 959735 1072645 1233945 1379115 1562997 1727523 1930761 2604995 2879205 3217935 3646993 4688991 7814985 8637615 9653805 10940979 18234965 23444955 32822937 54704895 164114685