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268682419240 = 235193471018817
BaseRepresentation
bin1111101000111010111…
…0000101110000101000
3221200111221101002100121
43322032232011300220
513400230144403430
6323233032413024
725261125611224
oct3721656056050
9850457332317
10268682419240
11a3a47248354
12440a5247174
131c44b7b4631
14d00bb1b784
156ec8070a7a
hex3e8eb85c28

268682419240 has 64 divisors (see below), whose sum is σ = 638187595200. Its totient is φ = 101522976768.

The previous prime is 268682419211. The next prime is 268682419241. The reversal of 268682419240 is 42914286862.

It is a happy number.

268682419240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (268682419241) 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 15 ways as a sum of consecutive naturals, for example, 245689 + ... + 773128.

It is an arithmetic number, because the mean of its divisors is an integer number (9971681175).

Almost surely, 2268682419240 is an apocalyptic number.

268682419240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268682419240 is an abundant number, since it is smaller than the sum of its proper divisors (369505175960).

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

268682419240 is a wasteful number, since it uses less digits than its factorization.

268682419240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019194 (or 1019190 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 268682419240 in words is "two hundred sixty-eight billion, six hundred eighty-two million, four hundred nineteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 347 380 694 760 1388 1735 2776 3470 6593 6940 13186 13880 26372 32965 52744 65930 131860 263720 1018817 2037634 4075268 5094085 8150536 10188170 19357523 20376340 38715046 40752680 77430092 96787615 154860184 193575230 353529499 387150460 707058998 774300920 1414117996 1767647495 2828235992 3535294990 6717060481 7070589980 13434120962 14141179960 26868241924 33585302405 53736483848 67170604810 134341209620 268682419240