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11608245740 = 2257133126637
BaseRepresentation
bin10101100111110011…
…11100010111101100
31002221222221222112102
422303321330113230
5142233202330430
65155512554232
7560443314020
oct126371742754
932858858472
1011608245740
114a17608923
1222bb6b2978
13112cc4c480
147c19a2380
1547e18a345
hex2b3e7c5ec

11608245740 has 144 divisors (see below), whose sum is σ = 31006575936. Its totient is φ = 3554772480.

The previous prime is 11608245713. The next prime is 11608245767. The reversal of 11608245740 is 4754280611.

It is an interprime number because it is at equal distance from previous prime (11608245713) and next prime (11608245767).

It is a junction number, because it is equal to n+sod(n) for n = 11608245694 and 11608245703.

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, 1745702 + ... + 1752338.

It is an arithmetic number, because the mean of its divisors is an integer number (215323444).

Almost surely, 211608245740 is an apocalyptic number.

11608245740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11608245740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15503287968).

11608245740 is an abundant number, since it is smaller than the sum of its proper divisors (19398330196).

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

11608245740 is a wasteful number, since it uses less digits than its factorization.

11608245740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 11608245740 in words is "eleven billion, six hundred eight million, two hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 961 1085 1612 1820 1922 2015 2170 2821 3844 4030 4340 4805 5642 6637 6727 8060 9610 11284 12493 13274 13454 14105 19220 24986 26548 26908 28210 33185 33635 46459 49972 56420 62465 66370 67270 86281 87451 92918 124930 132740 134540 172562 174902 185836 205747 232295 249860 345124 349804 411494 431405 437255 464590 603967 822988 862810 874510 929180 1028735 1207934 1440229 1725620 1749020 2057470 2415868 2674711 2880458 3019835 4114940 5349422 5760916 6039670 6378157 7201145 10698844 12079340 12756314 13373555 14402290 18722977 25512628 26747110 28804580 31890785 37445954 44647099 53494220 63781570 74891908 82916041 89294198 93614885 127563140 165832082 178588396 187229770 223235495 331664164 374459540 414580205 446470990 580412287 829160410 892941980 1160824574 1658320820 2321649148 2902061435 5804122870 11608245740