Search a number
-
+
2159816544 = 253217736043
BaseRepresentation
bin1000000010111100…
…0010111101100000
312120112002001022100
42000233002331200
513410403112134
6554152210400
7104344065144
oct20057027540
95515061270
102159816544
11a09184156
12503399a00
13285602472
14166bbb224
15c9930999
hex80bc2f60

2159816544 has 144 divisors (see below), whose sum is σ = 6593447952. Its totient is φ = 668196864.

The previous prime is 2159816539. The next prime is 2159816563. The reversal of 2159816544 is 4456189512.

2159816544 is a `hidden beast` number, since 2 + 1 + 5 + 98 + 16 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21598165442 = 9329615007472207872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2159816544.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 354387 + ... + 360429.

It is an arithmetic number, because the mean of its divisors is an integer number (45787833).

Almost surely, 22159816544 is an apocalyptic number.

2159816544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159816544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296723976).

2159816544 is an abundant number, since it is smaller than the sum of its proper divisors (4433631408).

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

2159816544 is a wasteful number, since it uses less digits than its factorization.

2159816544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6138 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 2159816544 is about 46473.8264402664. The cubic root of 2159816544 is about 1292.6242163191.

The spelling of 2159816544 in words is "two billion, one hundred fifty-nine million, eight hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 73 96 102 136 144 146 153 204 219 272 288 292 306 408 438 544 584 612 657 816 876 1168 1224 1241 1314 1632 1752 2336 2448 2482 2628 3504 3723 4896 4964 5256 6043 7008 7446 9928 10512 11169 12086 14892 18129 19856 21024 22338 24172 29784 36258 39712 44676 48344 54387 59568 72516 89352 96688 102731 108774 119136 145032 178704 193376 205462 217548 290064 308193 357408 410924 435096 441139 580128 616386 821848 870192 882278 924579 1232772 1323417 1643696 1740384 1764556 1849158 2465544 2646834 3287392 3529112 3698316 3970251 4931088 5293668 7058224 7396632 7499363 7940502 9862176 10587336 14116448 14793264 14998726 15881004 21174672 22498089 29586528 29997452 31762008 42349344 44996178 59994904 63524016 67494267 89992356 119989808 127048032 134988534 179984712 239979616 269977068 359969424 539954136 719938848 1079908272 2159816544