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116628657264 = 24327373127109
BaseRepresentation
bin110110010011110011…
…1000001010001110000
3102011001001101122200200
41230213213001101300
53402323414013024
6125324540515200
711266111141560
oct1544747012160
9364031348620
10116628657264
1145509922459
121a72a84bb00
13acc88b6302
1459056b8da0
15307900e2c9
hex1b279c1470

116628657264 has 120 divisors (see below), whose sum is σ = 383108500320. Its totient is φ = 32421855744.

The previous prime is 116628657251. The next prime is 116628657269. The reversal of 116628657264 is 462756826611.

116628657264 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 2 + 8 + 6 + 572 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 116628657264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116628657269) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1526259 + ... + 1600850.

It is an arithmetic number, because the mean of its divisors is an integer number (3192570836).

Almost surely, 2116628657264 is an apocalyptic number.

116628657264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

116628657264 is an abundant number, since it is smaller than the sum of its proper divisors (266479843056).

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

116628657264 is a wasteful number, since it uses less digits than its factorization.

116628657264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127167 (or 3127158 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 116628657264 in words is "one hundred sixteen billion, six hundred twenty-eight million, six hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 2072 2331 2664 3108 4144 4662 5328 6216 9324 12432 18648 37296 3127109 6254218 9381327 12508436 18762654 21889763 25016872 28143981 37525308 43779526 50033744 56287962 65669289 75050616 87559052 112575924 115703033 131338578 150101232 175118104 197007867 225151848 231406066 262677156 347109099 350236208 394015734 450303696 462812132 525354312 694218198 788031468 809921231 925624264 1041327297 1050708624 1388436396 1576062936 1619842462 1851248528 2082654594 2429763693 2776872792 3152125872 3239684924 4165309188 4859527386 5553745584 6479369848 7289291079 8330618376 9719054772 12958739696 14578582158 16661236752 19438109544 29157164316 38876219088 58314328632 116628657264