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13110664560 = 2435710177267
BaseRepresentation
bin11000011010111010…
…01101110101110000
31020211201000202200220
430031131031311300
5203322312231220
610004543013040
7642615544560
oct141535156560
936751022626
1013110664560
1156186a0374
12265a89a180
13130c2aa6a6
148c5334da0
1551b011540
hex30d74dd70

13110664560 has 160 divisors (see below), whose sum is σ = 46909711872. Its totient is φ = 2967014400.

The previous prime is 13110664559. The next prime is 13110664573. The reversal of 13110664560 is 6546601131.

It is a super-3 number, since 3×131106645603 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131047 + ... + 208313.

Almost surely, 213110664560 is an apocalyptic number.

13110664560 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 13110664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23454855936).

13110664560 is an abundant number, since it is smaller than the sum of its proper divisors (33799047312).

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

13110664560 is a wasteful number, since it uses less digits than its factorization.

13110664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77391 (or 77385 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 13110664560 in words is "thirteen billion, one hundred ten million, six hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 101 105 112 120 140 168 202 210 240 280 303 336 404 420 505 560 606 707 808 840 1010 1212 1414 1515 1616 1680 2020 2121 2424 2828 3030 3535 4040 4242 4848 5656 6060 7070 8080 8484 10605 11312 12120 14140 16968 21210 24240 28280 33936 42420 56560 77267 84840 154534 169680 231801 309068 386335 463602 540869 618136 772670 927204 1081738 1159005 1236272 1545340 1622607 1854408 2163476 2318010 2704345 3090680 3245214 3708816 4326952 4636020 5408690 6181360 6490428 7803967 8113035 8653904 9272040 10817380 12980856 15607934 16226070 18544080 21634760 23411901 25961712 31215868 32452140 39019835 43269520 46823802 54627769 62431736 64904280 78039670 93647604 109255538 117059505 124863472 129808560 156079340 163883307 187295208 218511076 234119010 273138845 312158680 327766614 374590416 437022152 468238020 546277690 624317360 655533228 819416535 874044304 936476040 1092555380 1311066456 1638833070 1872952080 2185110760 2622132912 3277666140 4370221520 6555332280 13110664560