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261268087488 = 2633375097933
BaseRepresentation
bin1111001101010011001…
…0101010001011000000
3220222101020000000020220
43303110302222023000
513240034112244423
6320005213503040
724606316046532
oct3632462521300
9828336000226
10261268087488
11a089202a151
12427761a1a80
131b8396bc995
14c907149852
156be21b19e3
hex3cd4caa2c0

261268087488 has 112 divisors (see below), whose sum is σ = 694772763360. Its totient is φ = 86649421824.

The previous prime is 261268087469. The next prime is 261268087501. The reversal of 261268087488 is 884780862162.

It is a super-2 number, since 2×2612680874882 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32930370 + ... + 32938302.

Almost surely, 2261268087488 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 261268087488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347386381680).

261268087488 is an abundant number, since it is smaller than the sum of its proper divisors (433504675872).

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

261268087488 is a wasteful number, since it uses less digits than its factorization.

261268087488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The spelling of 261268087488 in words is "two hundred sixty-one billion, two hundred sixty-eight million, eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 337 509 674 1011 1018 1348 1527 2022 2036 2696 3054 4044 4072 5392 6108 7933 8088 8144 10784 12216 15866 16176 16288 21568 23799 24432 31732 32352 32576 47598 48864 63464 64704 95196 97728 126928 171533 190392 253856 343066 380784 507712 514599 686132 761568 1029198 1372264 1523136 2058396 2673421 2744528 4037897 4116792 5346842 5489056 8020263 8075794 8233584 10693684 10978112 12113691 16040526 16151588 16467168 21387368 24227382 32081052 32303176 32934336 42774736 48454764 64162104 64606352 85549472 96909528 128324208 129212704 171098944 193819056 256648416 258425408 387638112 513296832 775276224 1360771289 2721542578 4082313867 5443085156 8164627734 10886170312 16329255468 21772340624 32658510936 43544681248 65317021872 87089362496 130634043744 261268087488