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116403361160 = 235711031073719
BaseRepresentation
bin110110001101000101…
…1100101010110001000
3102010110100110102112112
41230122023211112020
53401343230024120
6125250332001452
711260404146612
oct1543213452610
9363410412475
10116403361160
1145403732129
121a687300288
13ac910130c8
1458c37cddb2
153064359bc5
hex1b1a2e5588

116403361160 has 128 divisors (see below), whose sum is σ = 270754099200. Its totient is φ = 45022897920.

The previous prime is 116403361127. The next prime is 116403361181. The reversal of 116403361160 is 61163304611.

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 31 ways as a sum of consecutive naturals, for example, 31297781 + ... + 31301499.

It is an arithmetic number, because the mean of its divisors is an integer number (2115266400).

Almost surely, 2116403361160 is an apocalyptic number.

116403361160 is a gapful number since it is divisible by the number (10) 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 116403361160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135377049600).

116403361160 is an abundant number, since it is smaller than the sum of its proper divisors (154350738040).

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

116403361160 is a wasteful number, since it uses less digits than its factorization.

116403361160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

Adding to 116403361160 its reverse (61163304611), we get a palindrome (177566665771).

The spelling of 116403361160 in words is "one hundred sixteen billion, four hundred three million, three hundred sixty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 71 103 107 142 206 214 284 355 412 428 515 535 568 710 824 856 1030 1070 1420 2060 2140 2840 3719 4120 4280 7313 7438 7597 11021 14626 14876 15194 18595 22042 29252 29752 30388 36565 37190 37985 44084 55105 58504 60776 73130 74380 75970 88168 110210 146260 148760 151940 220420 264049 292520 303880 383057 397933 440840 528098 766114 782491 795866 1056196 1320245 1532228 1564982 1591732 1915285 1989665 2112392 2640490 3064456 3129964 3183464 3830570 3912455 3979330 5280980 6259928 7661140 7824910 7958660 10561960 15322280 15649820 15917320 27197047 28253243 31299640 40987099 54394094 56506486 81974198 108788188 113012972 135985235 141266215 163948396 204935495 217576376 226025944 271970470 282532430 327896792 409870990 543940940 565064860 819741980 1087881880 1130129720 1639483960 2910084029 5820168058 11640336116 14550420145 23280672232 29100840290 58201680580 116403361160