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9129138660 = 223251572111531
BaseRepresentation
bin10001000000010001…
…11001100111100100
3212120020002021221200
420200020321213210
5122144024414120
64105513042500
7442141253415
oct104010714744
925506067850
109129138660
113965184aa4
1219293b6430
13b264569c5
1462862d80c
153866d9e90
hex2202399e4

9129138660 has 144 divisors (see below), whose sum is σ = 28018466112. Its totient is φ = 2405894400.

The previous prime is 9129138659. The next prime is 9129138691. The reversal of 9129138660 is 668319219.

It is a happy number.

It is a super-3 number, since 3×91291386603 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5962095 + ... + 5963625.

Almost surely, 29129138660 is an apocalyptic number.

9129138660 is a gapful number since it is divisible by the number (90) 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 9129138660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14009233056).

9129138660 is an abundant number, since it is smaller than the sum of its proper divisors (18889327452).

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

9129138660 is a wasteful number, since it uses less digits than its factorization.

9129138660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9129138660 is about 95546.5261534924. The cubic root of 9129138660 is about 2089.9854748958.

The spelling of 9129138660 in words is "nine billion, one hundred twenty-nine million, one hundred thirty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 211 314 422 471 628 633 785 844 942 1055 1266 1413 1531 1570 1884 1899 2110 2355 2532 2826 3062 3140 3165 3798 4220 4593 4710 5652 6124 6330 7065 7596 7655 9186 9420 9495 12660 13779 14130 15310 18372 18990 22965 27558 28260 30620 33127 37980 45930 55116 66254 68895 91860 99381 132508 137790 165635 198762 240367 275580 298143 323041 331270 397524 480734 496905 596286 646082 662540 721101 961468 969123 993810 1192572 1201835 1292164 1442202 1490715 1615205 1938246 1987620 2163303 2403670 2884404 2907369 2981430 3230410 3605505 3876492 4326606 4807340 4845615 5814738 5962860 6460820 7211010 8653212 9691230 10816515 11629476 14422020 14536845 19382460 21633030 29073690 43266060 50717437 58147380 101434874 152152311 202869748 253587185 304304622 456456933 507174370 608609244 760761555 912913866 1014348740 1521523110 1825827732 2282284665 3043046220 4564569330 9129138660