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164044202136 = 233311447152377
BaseRepresentation
bin1001100011000111001…
…0111110000010011000
3120200102112002220101020
42120301302332002120
510141430303432021
6203205540322440
714565111465663
oct2306162760230
9520375086336
10164044202136
1163630748081
12279620a3420
1312614096739
147d22a926da
154401a447c6
hex2631cbe098

164044202136 has 64 divisors (see below), whose sum is σ = 423635220480. Its totient is φ = 52880567040.

The previous prime is 164044202117. The next prime is 164044202143. The reversal of 164044202136 is 631202440461.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 164044202097 and 164044202106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000380 + ... + 1152756.

It is an arithmetic number, because the mean of its divisors is an integer number (6619300320).

Almost surely, 2164044202136 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 164044202136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211817610240).

164044202136 is an abundant number, since it is smaller than the sum of its proper divisors (259591018344).

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

164044202136 is a wasteful number, since it uses less digits than its factorization.

164044202136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153864 (or 153860 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 164044202136 its reverse (631202440461), we get a palindrome (795246642597).

The spelling of 164044202136 in words is "one hundred sixty-four billion, forty-four million, two hundred two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1447 2894 4341 5788 8682 11576 17364 34728 44857 89714 134571 152377 179428 269142 304754 358856 457131 538284 609508 914262 1076568 1219016 1828524 3657048 4723687 9447374 14171061 18894748 28342122 37789496 56684244 113368488 220489519 440979038 661468557 881958076 1322937114 1763916152 2645874228 5291748456 6835175089 13670350178 20505525267 27340700356 41011050534 54681400712 82022101068 164044202136