Search a number
-
+
164280316288 = 27111914211451
BaseRepresentation
bin1001100011111111011…
…1101011000110000000
3120201000222101202002211
42120333313223012000
510142421230110123
6203245213151504
714604006435304
oct2307767530600
9521028352084
10164280316288
1163741a57140
1227a0918b594
1312650c8695a
147d46195d04
15441763440d
hex263fdeb180

164280316288 has 128 divisors (see below), whose sum is σ = 359999354880. Its totient is φ = 74054400000.

The previous prime is 164280316283. The next prime is 164280316307. The reversal of 164280316288 is 882613082461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164280316283) 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, 113217963 + ... + 113219413.

It is an arithmetic number, because the mean of its divisors is an integer number (2812494960).

Almost surely, 2164280316288 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 164280316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179999677440).

164280316288 is an abundant number, since it is smaller than the sum of its proper divisors (195719038592).

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

164280316288 is a wasteful number, since it uses less digits than its factorization.

164280316288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 164280316288 in words is "one hundred sixty-four billion, two hundred eighty million, three hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 191 352 382 421 704 764 842 1408 1451 1528 1684 2101 2902 3056 3368 4202 4631 5804 6112 6736 8404 9262 11608 12224 13472 15961 16808 18524 23216 24448 26944 31922 33616 37048 46432 53888 63844 67232 74096 80411 92864 127688 134464 148192 160822 185728 255376 268928 277141 296384 321644 510752 554282 592768 610871 643288 884521 1021504 1108564 1221742 1286576 1769042 2043008 2217128 2443484 2573152 3048551 3538084 4434256 4886968 5146304 6097102 6719581 7076168 8868512 9773936 10292608 12194204 13439162 14152336 17737024 19547872 24388408 26878324 28304672 35474048 39095744 48776816 53756648 56609344 78191488 97553632 107513296 113218688 116676361 195107264 215026592 233352722 390214528 430053184 466705444 860106368 933410888 1283439971 1866821776 2566879942 3733643552 5133759884 7467287104 10267519768 14934574208 20535039536 41070079072 82140158144 164280316288