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11689852160 = 285712710273
BaseRepresentation
bin10101110001100010…
…01111110100000000
31010011200112000111102
422320301033310000
5142420100232120
65211550033532
7562454050430
oct127061176400
933150460442
1011689852160
114a59686a48
122322aa88a8
131143b22aac
147cc7662c0
15486409d75
hex2b8c4fd00

11689852160 has 144 divisors (see below), whose sum is σ = 32256086016. Its totient is φ = 3976003584.

The previous prime is 11689852159. The next prime is 11689852169. The reversal of 11689852160 is 6125898611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11689852169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132784 + ... + 1143056.

Almost surely, 211689852160 is an apocalyptic number.

11689852160 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 11689852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128043008).

11689852160 is an abundant number, since it is smaller than the sum of its proper divisors (20566233856).

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

11689852160 is a wasteful number, since it uses less digits than its factorization.

11689852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 47.

The spelling of 11689852160 in words is "eleven billion, six hundred eighty-nine million, eight hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 128 140 160 224 254 256 280 320 448 508 560 635 640 889 896 1016 1120 1270 1280 1778 1792 2032 2240 2540 3556 4064 4445 4480 5080 7112 8128 8890 8960 10160 10273 14224 16256 17780 20320 20546 28448 32512 35560 40640 41092 51365 56896 71120 71911 81280 82184 102730 113792 142240 143822 162560 164368 205460 227584 284480 287644 328736 359555 410920 568960 575288 657472 719110 821840 1137920 1150576 1304671 1314944 1438220 1643680 2301152 2609342 2629888 2876440 3287360 4602304 5218684 5752880 6523355 6574720 9132697 9204608 10437368 11505760 13046710 13149440 18265394 18409216 20874736 23011520 26093420 36530788 41749472 45663485 46023040 52186840 73061576 83498944 91326970 92046080 104373680 146123152 166997888 182653940 208747360 292246304 333995776 365307880 417494720 584492608 730615760 834989440 1168985216 1461231520 1669978880 2337970432 2922463040 5844926080 11689852160