Search a number
-
+
18007776993852 = 223584059220399
BaseRepresentation
bin1000001100000110000110…
…01001101010001000111100
32100202112012221101212200000
410012003003021222020330
54330014411402300402
6102144354125034300
73536006333620152
oct406030311521074
970675187355600
1018007776993852
1158130677188a8
12202a0400b5990
13a08184011999
1446381c5c53d2
15213654a02c1c
hex1060c326a23c

18007776993852 has 72 divisors (see below), whose sum is σ = 47206347552000. Its totient is φ = 6002493687216.

The previous prime is 18007776993827. The next prime is 18007776993901. The reversal of 18007776993852 is 25839967770081.

18007776993852 is a `hidden beast` number, since 180 + 0 + 7 + 7 + 7 + 69 + 9 + 385 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81595149 + ... + 81815547.

It is an arithmetic number, because the mean of its divisors is an integer number (655643716000).

Almost surely, 218007776993852 is an apocalyptic number.

18007776993852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18007776993852 is an abundant number, since it is smaller than the sum of its proper divisors (29198570558148).

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

18007776993852 is a wasteful number, since it uses less digits than its factorization.

18007776993852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304477 (or 304463 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 18007776993852 in words is "eighteen trillion, seven billion, seven hundred seventy-six million, nine hundred ninety-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 84059 168118 220399 252177 336236 440798 504354 661197 756531 881596 1008708 1322394 1513062 1983591 2269593 2644788 3026124 3967182 4539186 5950773 6808779 7934364 9078372 11901546 13617558 17852319 20426337 23803092 27235116 35704638 40852674 53556957 71409276 81705348 107113914 214227828 18526519541 37053039082 55579558623 74106078164 111159117246 166738675869 222318234492 333477351738 500216027607 666954703476 1000432055214 1500648082821 2000864110428 3001296165642 4501944248463 6002592331284 9003888496926 18007776993852