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18380655036 = 223231531911627
BaseRepresentation
bin10001000111100100…
…101000100110111100
31202102222110000120100
4101013210220212330
5300120421430121
612235521121100
71220326663362
oct210744504674
952388400510
1018380655036
1178824451a7
12368b789190
13196c05a953
14c651d7632
157289ea026
hex4479289bc

18380655036 has 144 divisors (see below), whose sum is σ = 49151950848. Its totient is φ = 5783356800.

The previous prime is 18380655031. The next prime is 18380655037. The reversal of 18380655036 is 63055608381.

18380655036 is a `hidden beast` number, since 1 + 8 + 3 + 80 + 65 + 503 + 6 = 666.

It is a super-2 number, since 2×183806550362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18380654982 and 18380655000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18380655031) 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, 11296455 + ... + 11298081.

It is an arithmetic number, because the mean of its divisors is an integer number (341332992).

Almost surely, 218380655036 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 18380655036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24575975424).

18380655036 is an abundant number, since it is smaller than the sum of its proper divisors (30771295812).

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

18380655036 is a wasteful number, since it uses less digits than its factorization.

18380655036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 18380655036 in words is "eighteen billion, three hundred eighty million, six hundred fifty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 191 212 279 318 372 382 477 558 573 636 764 954 1116 1146 1627 1643 1719 1908 2292 3254 3286 3438 4881 4929 5921 6508 6572 6876 9762 9858 10123 11842 14643 14787 17763 19524 19716 20246 23684 29286 29574 30369 35526 40492 50437 53289 58572 59148 60738 71052 86231 91107 100874 106578 121476 151311 172462 182214 201748 213156 258693 302622 310757 313813 344924 364428 453933 517386 605244 621514 627626 776079 907866 932271 941439 1034772 1243028 1255252 1552158 1815732 1864542 1882878 2673161 2796813 2824317 3104316 3729084 3765756 5346322 5593626 5648634 8019483 9633467 10692644 11187252 11297268 16038966 16470121 19266934 24058449 28900401 32077932 32940242 38533868 48116898 49410363 57800802 65880484 86701203 96233796 98820726 115601604 148231089 173402406 197641452 296462178 346804812 510573751 592924356 1021147502 1531721253 2042295004 3063442506 4595163759 6126885012 9190327518 18380655036