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164484368184 = 233131269319427
BaseRepresentation
bin1001100100110000001…
…0000100011100111000
3120201120012100122200110
42121030002010130320
510143330444240214
6203321342504320
714612035026633
oct2311402043470
9521505318613
10164484368184
1163837157374
1227a655950a0
131268432c316
147d65310c1a
15442a4de159
hex264c084738

164484368184 has 64 divisors (see below), whose sum is σ = 414525133440. Its totient is φ = 54386583680.

The previous prime is 164484368183. The next prime is 164484368189. The reversal of 164484368184 is 481863484461.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164484368183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8457079 + ... + 8476505.

It is an arithmetic number, because the mean of its divisors is an integer number (6476955210).

Almost surely, 2164484368184 is an apocalyptic number.

It is an amenable number.

164484368184 is an abundant number, since it is smaller than the sum of its proper divisors (250040765256).

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

164484368184 is a wasteful number, since it uses less digits than its factorization.

164484368184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22260 (or 22256 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 57.

The spelling of 164484368184 in words is "one hundred sixty-four billion, four hundred eighty-four million, three hundred sixty-eight thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 1048 1572 2693 3144 5386 8079 10772 16158 19427 21544 32316 38854 58281 64632 77708 116562 155416 233124 352783 466248 705566 1058349 1411132 2116698 2544937 2822264 4233396 5089874 7634811 8466792 10179748 15269622 20359496 30539244 52316911 61078488 104633822 156950733 209267644 313901466 418535288 627802932 1255605864 6853515341 13707030682 20560546023 27414061364 41121092046 54828122728 82242184092 164484368184