Search a number
-
+
116939509326 = 234103127139397
BaseRepresentation
bin110110011101000100…
…0110100111001001110
3102011211201022120120000
41230322020310321032
53403443003244301
6125415443305130
711306604300033
oct1547210647116
9364751276500
10116939509326
1145659339192
121a7b697b1a6
13b048113743
145934ab538a
153096463786
hex1b3a234e4e

116939509326 has 160 divisors (see below), whose sum is σ = 269253304320. Its totient is φ = 37926149184.

The previous prime is 116939509307. The next prime is 116939509343. The reversal of 116939509326 is 623905939611.

116939509326 is a `hidden beast` number, since 1 + 16 + 93 + 9 + 509 + 32 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 294557760 + ... + 294558156.

It is an arithmetic number, because the mean of its divisors is an integer number (1682833152).

Almost surely, 2116939509326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116939509326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134626652160).

116939509326 is an abundant number, since it is smaller than the sum of its proper divisors (152313794994).

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

116939509326 is a wasteful number, since it uses less digits than its factorization.

116939509326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 116939509326 in words is "one hundred sixteen billion, nine hundred thirty-nine million, five hundred nine thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 103 127 139 162 206 254 278 309 381 397 417 618 762 794 834 927 1143 1191 1251 1854 2286 2382 2502 2781 3429 3573 3753 5562 6858 7146 7506 8343 10287 10719 11259 13081 14317 16686 17653 20574 21438 22518 26162 28634 32157 35306 39243 40891 42951 50419 52959 55183 64314 78486 81782 85902 100838 105918 110366 117729 122673 128853 151257 158877 165549 235458 245346 257706 302514 317754 331098 353187 368019 386559 453771 476631 496647 706374 736038 773118 907542 953262 993294 1059561 1104057 1159677 1361313 1429893 1489941 1818259 2119122 2208114 2319354 2722626 2859786 2979882 3312171 3636518 4083939 4469823 5193157 5454777 5683849 6624342 7008241 8167878 8939646 10386314 10909554 11367698 14016482 15579471 16364331 17051547 21024723 31158942 32728662 34103094 42049446 46738413 49092993 51154641 63074169 93476826 98185986 102309282 126148338 140215239 147278979 153463923 189222507 280430478 294557958 306927846 378445014 420645717 460391769 567667521 721848823 841291434 920783538 1135335042 1443697646 2165546469 4331092938 6496639407 12993278814 19489918221 38979836442 58469754663 116939509326