Search a number
-
+
1820051387172 = 223511333749171
BaseRepresentation
bin11010011111000011100…
…001000011001100100100
320102222212111210011200000
4122133003201003030210
5214304431123342142
63512041533421300
7245331366350544
oct32370341031444
96388774704600
101820051387172
11641974617647
122548a363a830
13102826472745
146413b82d324
153252507514c
hex1a7c3843324

1820051387172 has 144 divisors (see below), whose sum is σ = 4827684144192. Its totient is φ = 599518402560.

The previous prime is 1820051387137. The next prime is 1820051387173. The reversal of 1820051387172 is 2717831500281.

1820051387172 is a `hidden beast` number, since 1 + 8 + 200 + 51 + 387 + 17 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1820051387173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36990147 + ... + 37039317.

Almost surely, 21820051387172 is an apocalyptic number.

1820051387172 is a gapful number since it is divisible by the number (12) 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 1820051387172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413842072096).

1820051387172 is an abundant number, since it is smaller than the sum of its proper divisors (3007632757020).

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

1820051387172 is a wasteful number, since it uses less digits than its factorization.

1820051387172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49640 (or 49626 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1820051387172 in words is "one trillion, eight hundred twenty billion, fifty-one million, three hundred eighty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 337 339 452 486 674 678 972 1011 1017 1348 1356 2022 2034 3033 3051 4044 4068 6066 6102 9099 9153 12132 12204 18198 18306 27297 27459 36396 36612 38081 49171 54594 54918 76162 81891 98342 109188 109836 114243 147513 152324 163782 196684 228486 295026 327564 342729 442539 456972 590052 685458 885078 1028187 1327617 1370916 1770156 2056374 2655234 3084561 3982851 4112748 5310468 5556323 6169122 7965702 9253683 11112646 11948553 12338244 15931404 16570627 16668969 18507366 22225292 23897106 33141254 33337938 37014732 47794212 49711881 50006907 66282508 66675876 99423762 100013814 149135643 150020721 198847524 200027628 298271286 300041442 447406929 450062163 596542572 600082884 894813858 900124326 1342220787 1350186489 1789627716 1800248652 1872480851 2684441574 2700372978 3744961702 4026662361 5368883148 5400745956 5617442553 7489923404 8053324722 11234885106 16106649444 16852327659 22469770212 33704655318 50556982977 67409310636 101113965954 151670948931 202227931908 303341897862 455012846793 606683795724 910025693586 1820051387172