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261341513244 = 2232753103118979
BaseRepresentation
bin1111001101100100101…
…0110000011000011100
3220222120100011102110100
43303121022300120130
513240211411410434
6320020355341100
724611200132020
oct3633112603034
9828510142410
10261341513244
11a091a51aa99
12427968b1790
131b84b98a886
14c912bc0380
156be8867699
hex3cd92b061c

261341513244 has 144 divisors (see below), whose sum is σ = 770018296320. Its totient is φ = 73185240960.

The previous prime is 261341513231. The next prime is 261341513261. The reversal of 261341513244 is 442315143162.

261341513244 is a `hidden beast` number, since 2 + 6 + 134 + 1 + 513 + 2 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 261341513199 and 261341513208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13760547 + ... + 13779525.

It is an arithmetic number, because the mean of its divisors is an integer number (5347349280).

Almost surely, 2261341513244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261341513244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385009148160).

261341513244 is an abundant number, since it is smaller than the sum of its proper divisors (508676783076).

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

261341513244 is a wasteful number, since it uses less digits than its factorization.

261341513244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20080 (or 20075 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 261341513244 in words is "two hundred sixty-one billion, three hundred forty-one million, five hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1031 1113 1484 1908 2062 2226 3093 3339 4124 4452 6186 6678 7217 9279 12372 13356 14434 18558 18979 21651 28868 37116 37958 43302 54643 56937 64953 75916 86604 109286 113874 129906 132853 163929 170811 218572 227748 259812 265706 327858 341622 382501 398559 491787 531412 655716 683244 765002 797118 983574 1005887 1147503 1195677 1530004 1594236 1967148 2011774 2295006 2391354 3017661 3442509 4023548 4590012 4782708 6035322 6885018 7041209 9052983 12070644 13770036 14082418 18105966 19567349 21123627 28164836 36211932 39134698 42247254 58702047 63370881 78269396 84494508 117404094 126741762 136971443 176106141 234808188 253483524 273942886 352212282 410914329 547885772 704424564 821828658 1037069497 1232742987 1643657316 2074138994 2465485974 3111208491 4148277988 4930971948 6222416982 7259486479 9333625473 12444833964 14518972958 18667250946 21778459437 29037945916 37334501892 43556918874 65335378311 87113837748 130670756622 261341513244