Search a number
-
+
18396996072 = 23371379106627
BaseRepresentation
bin10001001000100010…
…111110000111101000
31202111010012020020220
4101020202332013220
5300134112333242
612241303250040
71220615613030
oct211042760750
952433166226
1018396996072
117890696494
123695149920
13197255c7c0
14c6744c8c0
1572a176bec
hex4488be1e8

18396996072 has 128 divisors (see below), whose sum is σ = 57323212800. Its totient is φ = 4790492928.

The previous prime is 18396996043. The next prime is 18396996089. The reversal of 18396996072 is 27069969381.

It is a junction number, because it is equal to n+sod(n) for n = 18396995997 and 18396996015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119223 + ... + 225849.

It is an arithmetic number, because the mean of its divisors is an integer number (447837600).

Almost surely, 218396996072 is an apocalyptic number.

18396996072 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 18396996072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28661606400).

18396996072 is an abundant number, since it is smaller than the sum of its proper divisors (38926216728).

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

18396996072 is a wasteful number, since it uses less digits than its factorization.

18396996072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106735 (or 106731 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 18396996072 in words is "eighteen billion, three hundred ninety-six million, nine hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 79 84 91 104 156 158 168 182 237 273 312 316 364 474 546 553 632 728 948 1027 1092 1106 1659 1896 2054 2184 2212 3081 3318 4108 4424 6162 6636 7189 8216 12324 13272 14378 21567 24648 28756 43134 57512 86268 106627 172536 213254 319881 426508 639762 746389 853016 1279524 1386151 1492778 2239167 2559048 2772302 2985556 4158453 4478334 5544604 5971112 8316906 8423533 8956668 9703057 11089208 16633812 16847066 17913336 19406114 25270599 29109171 33267624 33694132 38812228 50541198 58218342 58964731 67388264 77624456 101082396 109505929 116436684 117929462 176894193 202164792 219011858 232873368 235858924 328517787 353788386 438023716 471717848 657035574 707576772 766541503 876047432 1314071148 1415153544 1533083006 2299624509 2628142296 3066166012 4599249018 6132332024 9198498036 18396996072