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11688335331270 = 23513431665741843
BaseRepresentation
bin1010101000010110011100…
…0100110100111111000110
31112101101122012000111201120
42222011213010310333012
53013000202321100040
640505314102334410
72314311563024313
oct252054704647706
945341565014646
1011688335331270
1137a6aa4642314
12138933ba2a406
1366a289047a40
142c5a0b5cbd0a
1515409167d7d0
hexaa167134fc6

11688335331270 has 128 divisors (see below), whose sum is σ = 30915000635904. Its totient is φ = 2809982859264.

The previous prime is 11688335331221. The next prime is 11688335331371. The reversal of 11688335331270 is 7213353388611.

11688335331270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279316969 + ... + 279358811.

It is an arithmetic number, because the mean of its divisors is an integer number (241523442468).

Almost surely, 211688335331270 is an apocalyptic number.

11688335331270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11688335331270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457500317952).

11688335331270 is an abundant number, since it is smaller than the sum of its proper divisors (19226665304634).

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

11688335331270 is a wasteful number, since it uses less digits than its factorization.

11688335331270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58566.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 11688335331270 in words is "eleven trillion, six hundred eighty-eight billion, three hundred thirty-five million, three hundred thirty-one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 258 390 430 559 645 1118 1290 1677 2795 3354 5590 8385 16657 16770 33314 41843 49971 83285 83686 99942 125529 166570 209215 216541 249855 251058 418430 433082 499710 543959 627645 649623 716251 1082705 1087918 1255290 1299246 1432502 1631877 1799249 2148753 2165410 2719795 3248115 3263754 3581255 3598498 4297506 5397747 5439590 6496230 7162510 8159385 8996245 9311263 10743765 10795494 16318770 17992490 18622526 21487530 23390237 26988735 27933789 46556315 46780474 53977470 55867578 70170711 93112630 116951185 139668945 140341422 233902370 279337890 350853555 696978851 701707110 1393957702 2090936553 3484894255 4181873106 6969788510 9060725063 10454682765 18121450126 20909365530 27182175189 29970090593 45303625315 54364350378 59940181186 89910271779 90607250630 135910875945 149850452965 179820543558 271821751890 299700905930 389611177709 449551358895 779222355418 899102717790 1168833533127 1948055888545 2337667066254 3896111777090 5844167665635 11688335331270