Search a number
-
+
11161434601720 = 23513137359436417
BaseRepresentation
bin1010001001101011100101…
…0110000011100011111000
31110112000121120100010220101
42202122321112003203320
52430332104224223340
635423254155205144
72231246516514664
oct242327126034370
943460546303811
1011161434601720
1136135a0944627
1213031b1a467b4
1362c698965b20
142a83058078a4
15145504073c9a
hexa26b95838f8

11161434601720 has 128 divisors (see below), whose sum is σ = 27318370262400. Its totient is φ = 4079658663936.

The previous prime is 11161434601703. The next prime is 11161434601747. The reversal of 11161434601720 is 2710643416111.

It is a self number, because there is not a number n which added to its sum of digits gives 11161434601720.

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, 25356952 + ... + 25793368.

It is an arithmetic number, because the mean of its divisors is an integer number (213424767675).

Almost surely, 211161434601720 is an apocalyptic number.

11161434601720 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 11161434601720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659185131200).

11161434601720 is an abundant number, since it is smaller than the sum of its proper divisors (16156935660680).

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

11161434601720 is a wasteful number, since it uses less digits than its factorization.

11161434601720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436937 (or 436933 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 11161434601720 in words is "eleven trillion, one hundred sixty-one billion, four hundred thirty-four million, six hundred one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 137 260 274 359 520 548 685 718 1096 1370 1436 1781 1795 2740 2872 3562 3590 4667 5480 7124 7180 8905 9334 14248 14360 17810 18668 23335 35620 37336 46670 49183 71240 93340 98366 186680 196732 245915 393464 436417 491830 639379 872834 983660 1278758 1745668 1967320 2182085 2557516 3196895 3491336 4364170 5115032 5673421 6393790 8728340 11346842 12787580 17456680 22693684 25575160 28367105 45387368 56734210 59789129 113468420 119578258 156673703 226936840 239156516 298945645 313347406 478313032 597891290 626694812 777258677 783368515 1195782580 1253389624 1554517354 1566737030 2036758139 2391565160 3109034708 3133474060 3886293385 4073516278 6218069416 6266948120 7772586770 8147032556 10183790695 15545173540 16294065112 20367581390 21464297311 31090347080 40735162780 42928594622 81470325560 85857189244 107321486555 171714378488 214642973110 279035865043 429285946220 558071730086 858571892440 1116143460172 1395179325215 2232286920344 2790358650430 5580717300860 11161434601720