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268489489944 = 233131276775931
BaseRepresentation
bin1111101000001100111…
…0000111111000011000
3221200000111100021010010
43322003032013320120
513344331302134234
6323201541321520
725253264003154
oct3720316077030
9850014307103
10268489489944
11a3958354755
12440507062a0
131c41a8347a0
14cdd025a064
156eb61616e9
hex3e83387e18

268489489944 has 64 divisors (see below), whose sum is σ = 728548208640. Its totient is φ = 81961649280.

The previous prime is 268489489943. The next prime is 268489489967. The reversal of 268489489944 is 449984984862.

268489489944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268489489943) 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, 3348342 + ... + 3427589.

It is an arithmetic number, because the mean of its divisors is an integer number (11383565760).

Almost surely, 2268489489944 is an apocalyptic number.

268489489944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268489489944 is an abundant number, since it is smaller than the sum of its proper divisors (460058718696).

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

268489489944 is a wasteful number, since it uses less digits than its factorization.

268489489944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6776080 (or 6776076 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 75.

The spelling of 268489489944 in words is "two hundred sixty-eight billion, four hundred eighty-nine million, four hundred eighty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 381 508 762 1016 1524 1651 3048 3302 4953 6604 9906 13208 19812 39624 6775931 13551862 20327793 27103724 40655586 54207448 81311172 88087103 162622344 176174206 264261309 352348412 528522618 704696824 860543237 1057045236 1721086474 2114090472 2581629711 3442172948 5163259422 6884345896 10326518844 11187062081 20653037688 22374124162 33561186243 44748248324 67122372486 89496496648 134244744972 268489489944