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5606110006120 = 2351349128197789
BaseRepresentation
bin101000110010100011000…
…1100100000101101101000
3201211221100110000122121101
41101211012030200231220
51213322303130143440
615531224505251144
71116012426544111
oct121450614405550
921757313018541
105606110006120
1118715a0a47098
12766602a93ab4
133188668255c0
141554a12b3208
159ac63ba669a
hex51946320b68

5606110006120 has 128 divisors (see below), whose sum is σ = 13618278576000. Its totient is φ = 2064734622720.

The previous prime is 5606110006111. The next prime is 5606110006139. The reversal of 5606110006120 is 216000116065.

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 31 ways as a sum of consecutive naturals, for example, 719743186 + ... + 719750974.

It is an arithmetic number, because the mean of its divisors is an integer number (106392801375).

Almost surely, 25606110006120 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 5606110006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809139288000).

5606110006120 is an abundant number, since it is smaller than the sum of its proper divisors (8012168569880).

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

5606110006120 is a wasteful number, since it uses less digits than its factorization.

5606110006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123 (or 11119 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 5606110006120 in words is "five trillion, six hundred six billion, one hundred ten million, six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 491 520 982 1964 2455 2819 3928 4910 5638 6383 7789 9820 11276 12766 14095 15578 19640 22552 25532 28190 31156 31915 36647 38945 51064 56380 62312 63830 73294 77890 101257 112760 127660 146588 155780 183235 202514 255320 293176 311560 366470 405028 506285 732940 810056 1012570 1384129 1465880 2025140 2768258 3824399 4050280 5536516 6920645 7648798 11073032 13841290 15297596 17993677 19121995 21957191 27682580 30595192 35987354 38243990 43914382 49717187 55365160 71974708 76487980 87828764 89968385 99434374 109785955 143949416 152975960 175657528 179936770 198868748 219571910 248585935 285443483 359873540 397737496 439143820 497171870 570886966 719747080 878287640 994343740 1141773932 1427217415 1988687480 2283547864 2854434830 5708869660 10780980781 11417739320 21561961562 43123923124 53904903905 86247846248 107809807810 140152750153 215619615620 280305500306 431239231240 560611000612 700763750765 1121222001224 1401527501530 2803055003060 5606110006120