Search a number
-
+
2118100644 = 22331121091487
BaseRepresentation
bin111111000111111…
…1010011010100100
312110121120122212000
41332033322122210
513314213210034
6550102125300
7103326362352
oct17617723244
95417518760
102118100644
11997681400
124b1420830
13279a878ba
1416143c7d2
15c5e40599
hex7e3fa6a4

2118100644 has 144 divisors (see below), whose sum is σ = 6095443200. Its totient is φ = 635532480.

The previous prime is 2118100619. The next prime is 2118100651. The reversal of 2118100644 is 4460018112.

It is a happy number.

2118100644 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 10 + 0 + 644 = 666.

It is a super-2 number, since 2×21181006442 = 8972700676226429472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423669 + ... + 1425155.

Almost surely, 22118100644 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 2118100644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047721600).

2118100644 is an abundant number, since it is smaller than the sum of its proper divisors (3977342556).

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

2118100644 is a wasteful number, since it uses less digits than its factorization.

2118100644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2118100644 is about 46022.8274229213. The cubic root of 2118100644 is about 1284.2478995544.

Adding to 2118100644 its reverse (4460018112), we get a palindrome (6578118756).

The spelling of 2118100644 in words is "two billion, one hundred eighteen million, one hundred thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 109 121 132 198 218 242 297 327 363 396 436 484 594 654 726 981 1089 1188 1199 1308 1452 1487 1962 2178 2398 2943 2974 3267 3597 3924 4356 4461 4796 5886 5948 6534 7194 8922 10791 11772 13068 13189 13383 14388 16357 17844 21582 26378 26766 32373 32714 39567 40149 43164 49071 52756 53532 64746 65428 79134 80298 98142 118701 129492 147213 158268 160596 162083 179927 196284 237402 294426 324166 356103 359854 441639 474804 486249 539781 588852 648332 712206 719708 883278 972498 1079562 1424412 1458747 1619343 1766556 1782913 1944996 2159124 2917494 3238686 3565826 4376241 4858029 5348739 5834988 6477372 7131652 8752482 9716058 10697478 16046217 17504964 19432116 19612043 21394956 32092434 39224086 48138651 58836129 64184868 78448172 96277302 117672258 176508387 192554604 235344516 353016774 529525161 706033548 1059050322 2118100644