Search a number
-
+
114550069536 = 2533718940157
BaseRepresentation
bin110101010101110110…
…1110101100100100000
3101221200012011110101000
41222223231311210200
53334044304211121
6124342405312000
711163441345210
oct1525355654440
9357605143330
10114550069536
1144642589761
121a24a705600
13aa57084646
145789604240
152ea67c6526
hex1aabb75920

114550069536 has 96 divisors (see below), whose sum is σ = 381833585280. Its totient is φ = 32728589568.

The previous prime is 114550069507. The next prime is 114550069541. The reversal of 114550069536 is 635960055411.

114550069536 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 50 + 0 + 69 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 114550069491 and 114550069500.

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 15 ways as a sum of consecutive naturals, for example, 9464031 + ... + 9476126.

It is an arithmetic number, because the mean of its divisors is an integer number (3977433180).

Almost surely, 2114550069536 is an apocalyptic number.

114550069536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114550069536 is an abundant number, since it is smaller than the sum of its proper divisors (267283515744).

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

114550069536 is a wasteful number, since it uses less digits than its factorization.

114550069536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940183 (or 18940169 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 114550069536 in words is "one hundred fourteen billion, five hundred fifty million, sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 18940157 37880314 56820471 75760628 113640942 132581099 151521256 170461413 227281884 265162198 303042512 340922826 397743297 454563768 511384239 530324396 606085024 681845652 795486594 909127536 1022768478 1060648792 1193229891 1363691304 1590973188 1818255072 2045536956 2121297584 2386459782 2727382608 3181946376 3579689673 4091073912 4242595168 4772919564 5454765216 6363892752 7159379346 8182147824 9545839128 12727785504 14318758692 16364295648 19091678256 28637517384 38183356512 57275034768 114550069536