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268884787941 = 327111847210071
BaseRepresentation
bin1111101001101011001…
…0000100001011100101
3221201001001011111000200
43322122302010023211
513401134001203231
6323305102101113
725266133662360
oct3723262041345
9851031144020
10268884787941
11a40404a8a10
1244140b7a799
131c4816bab23
14d02a9590d7
156edabe6be6
hex3e9ac842e5

268884787941 has 48 divisors (see below), whose sum is σ = 484489893888. Its totient is φ = 139604119200.

The previous prime is 268884787937. The next prime is 268884787943. The reversal of 268884787941 is 149787488862.

268884787941 is a `hidden beast` number, since 2 + 6 + 8 + 88 + 478 + 79 + 4 + 1 = 666.

268884787941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 268884787941 - 22 = 268884787937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268884787941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268884787943) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1174936 + ... + 1385006.

It is an arithmetic number, because the mean of its divisors is an integer number (10093539456).

Almost surely, 2268884787941 is an apocalyptic number.

268884787941 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

268884787941 is a deficient number, since it is larger than the sum of its proper divisors (215605105947).

268884787941 is a wasteful number, since it uses less digits than its factorization.

268884787941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211942 (or 211939 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 72.

The spelling of 268884787941 in words is "two hundred sixty-eight billion, eight hundred eighty-four million, seven hundred eighty-seven thousand, nine hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1847 5541 12929 16623 20317 38787 60951 116361 142219 182853 210071 426657 630213 1279971 1470497 1890639 2310781 4411491 6932343 13234473 16175467 20797029 48526401 145579203 388001137 1164003411 2716007959 3492010233 4268012507 8148023877 12804037521 24444071631 29876087549 38412112563 89628262647 268884787941