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164351136 = 2535932887
BaseRepresentation
bin10011100101111…
…00110010100000
3102110020220101010
421302330302200
5314033214021
624150340520
74033650555
oct1162746240
9373226333
10164351136
1184854494
124705a740
13280850c1
1417b82a2c
15e666976
hex9cbcca0

164351136 has 48 divisors (see below), whose sum is σ = 432298944. Its totient is φ = 54672384.

The previous prime is 164351113. The next prime is 164351147. The reversal of 164351136 is 631153461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1643511362 = 54022591808980992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55485 + ... + 58371.

It is an arithmetic number, because the mean of its divisors is an integer number (9006228).

Almost surely, 2164351136 is an apocalyptic number.

164351136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164351136 is an abundant number, since it is smaller than the sum of its proper divisors (267947808).

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

164351136 is a wasteful number, since it uses less digits than its factorization.

164351136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3485 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 164351136 is about 12819.9507019333. The cubic root of 164351136 is about 547.7607423413.

It can be divided in two parts, 16435 and 1136, that added together give a palindrome (17571).

The spelling of 164351136 in words is "one hundred sixty-four million, three hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 593 1186 1779 2372 2887 3558 4744 5774 7116 8661 9488 11548 14232 17322 18976 23096 28464 34644 46192 56928 69288 92384 138576 277152 1711991 3423982 5135973 6847964 10271946 13695928 20543892 27391856 41087784 54783712 82175568 164351136