Search a number
-
+
18100473444 = 223217213192
BaseRepresentation
bin10000110110110111…
…110100111001100100
31201201110020022200100
4100312313310321210
5244032210122234
612152031544100
71210355325414
oct206667647144
951643208610
1018100473444
117749277669
12361198b030
131925cab721
14c39d02644
1570e103399
hex436df4e64

18100473444 has 81 divisors (see below), whose sum is σ = 48640579897. Its totient is φ = 5674274688.

The previous prime is 18100473389. The next prime is 18100473473. The reversal of 18100473444 is 44437400181.

It is a happy number.

The square root of 18100473444 is 134538.

It is a perfect power (a square), and thus also a powerful number.

18100473444 is a `hidden beast` number, since 181 + 0 + 0 + 473 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14092064100 + 4008409344 = 118710^2 + 63312^2 .

It is a super-2 number, since 2×181004734442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18100473399 and 18100473408.

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 26 ways as a sum of consecutive naturals, for example, 13722217 + ... + 13723535.

Almost surely, 218100473444 is an apocalyptic number.

18100473444 is the 134538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18100473444

18100473444 is an abundant number, since it is smaller than the sum of its proper divisors (30540106453).

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

18100473444 is a wasteful number, since it uses less digits than its factorization.

18100473444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 18100473444 by its sum of digits (36), we get a square (651617043984 = 8072282).

18100473444 divided by its sum of digits (36) gives a square (502790929 = 224232).

The spelling of 18100473444 in words is "eighteen billion, one hundred million, four hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1319 1734 2601 2638 3468 3957 5202 5276 7914 10404 11871 15828 22423 23742 44846 47484 67269 89692 134538 201807 269076 381191 403614 762382 807228 1143573 1524764 1739761 2287146 3430719 3479522 4574292 5219283 6861438 6959044 10438566 13722876 15657849 20877132 29575937 31315698 59151874 62631396 88727811 118303748 177455622 266183433 354911244 502790929 532366866 1005581858 1064733732 1508372787 2011163716 3016745574 4525118361 6033491148 9050236722 18100473444