Search a number
-
+
28034953152885 = 335747655396323
BaseRepresentation
bin1100101111111011001010…
…11011001000100101110101
310200021010010002101001022000
412113331211123020211311
512133311041001343020
6135343025113325513
75622313162651020
oct627754533104565
9120233102331260
1028034953152885
118a29614204388
123189441106899
1312848b94a8583
146ccc82ad01b7
153393c06c6090
hex197f656c8975

28034953152885 has 128 divisors (see below), whose sum is σ = 58181298831360. Its totient is φ = 12541253856768.

The previous prime is 28034953152883. The next prime is 28034953152919. The reversal of 28034953152885 is 58825135943082.

It is a happy number.

28034953152885 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 49 + 531 + 52 + 8 + 8 + 5 = 666.

It is not a de Polignac number, because 28034953152885 - 21 = 28034953152883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28034953152883) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291003334 + ... + 291099656.

It is an arithmetic number, because the mean of its divisors is an integer number (454541397120).

Almost surely, 228034953152885 is an apocalyptic number.

It is an amenable number.

28034953152885 is an abundant number, since it is smaller than the sum of its proper divisors (30146345678475).

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

28034953152885 is a wasteful number, since it uses less digits than its factorization.

28034953152885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102944 (or 102938 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 28034953152885 in words is "twenty-eight trillion, thirty-four billion, nine hundred fifty-three million, one hundred fifty-two thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 47 63 105 135 141 189 235 315 329 423 705 945 987 1269 1645 2115 2961 4935 6345 6553 8883 14805 19659 32765 44415 45871 58977 96323 98295 137613 176931 229355 288969 294885 307991 412839 481615 674261 688065 866907 884655 923973 1238517 1444845 1539955 2022783 2064195 2155937 2600721 2771919 3371305 4334535 4527181 4619865 6068349 6192585 6467811 8315757 10113915 10779685 13003605 13581543 13859595 18205047 19403433 22635905 30341745 31690267 32339055 40744629 41578785 58210299 67907715 91025235 95070801 97017165 122233887 158451335 203723145 285212403 291051495 475354005 611169435 631204619 855637209 1426062015 1893613857 3156023095 4278186045 4418432333 5680841571 9468069285 13255296999 17042524713 22092161665 28404207855 29666617093 39765890997 66276484995 85212623565 88999851279 119297672991 148333085465 198829454985 207666319651 266999553837 444999256395 596488364955 622998958953 800998661511 1038331598255 1334997769185 1868996876859 3114994794765 4004993307555 5606990630577 9344984384295 28034953152885