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261335255640 = 23355341090449
BaseRepresentation
bin1111001101100011001…
…0111000101001011000
3220222112220101111122020
43303120302320221120
513240203311140030
6320020013254440
724611063010204
oct3633062705130
9828486344566
10261335255640
11a0916a36618
1242794794420
131b84a5a9554
14c912031b04
156be802d510
hex3cd8cb8a58

261335255640 has 64 divisors (see below), whose sum is σ = 798798348000. Its totient is φ = 68374505472.

The previous prime is 261335255617. The next prime is 261335255663. The reversal of 261335255640 is 46552533162.

It is a happy number.

261335255640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261335255617) and next prime (261335255663).

It is a super-2 number, since 2×2613352556402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261335255592 and 261335255601.

It is a congruent number.

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, 20538865 + ... + 20551584.

Almost surely, 2261335255640 is an apocalyptic number.

261335255640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261335255640 is an abundant number, since it is smaller than the sum of its proper divisors (537463092360).

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

261335255640 is a wasteful number, since it uses less digits than its factorization.

261335255640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41090516 (or 41090512 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 261335255640 in words is "two hundred sixty-one billion, three hundred thirty-five million, two hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 41090449 82180898 123271347 164361796 205452245 246542694 328723592 410904490 493085388 616356735 821808980 986170776 1232713470 1643617960 2177793797 2465426940 4355587594 4930853880 6533381391 8711175188 10888968985 13066762782 17422350376 21777937970 26133525564 32666906955 43555875940 52267051128 65333813910 87111751880 130667627820 261335255640