Search a number
-
+
129418639168 = 2671357138917
BaseRepresentation
bin111100010000111110…
…0111011011101000000
3110101001102000001111011
41320201330323131000
54110022132423133
6135242030330304
712231054165550
oct1704174733500
9411042001434
10129418639168
114a9824a2135
12210ba059994
13c286603b40
14639a1b5160
153576cc86cd
hex1e21f3b740

129418639168 has 112 divisors (see below), whose sum is σ = 316641829504. Its totient is φ = 51107604480.

The previous prime is 129418639151. The next prime is 129418639177. The reversal of 129418639168 is 861936814921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3306046 + ... + 3344962.

It is an arithmetic number, because the mean of its divisors is an integer number (2827159192).

Almost surely, 2129418639168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129418639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158320914752).

129418639168 is an abundant number, since it is smaller than the sum of its proper divisors (187223190336).

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

129418639168 is a wasteful number, since it uses less digits than its factorization.

129418639168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39520 (or 39510 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 58.

The spelling of 129418639168 in words is "one hundred twenty-nine billion, four hundred eighteen million, six hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 571 728 832 1142 1456 2284 2912 3997 4568 5824 7423 7994 9136 14846 15988 18272 29692 31976 36544 38917 51961 59384 63952 77834 103922 118768 127904 155668 207844 237536 255808 272419 311336 415688 475072 505921 544838 622672 831376 1011842 1089676 1245344 1662752 2023684 2179352 2490688 3325504 3541447 4047368 4358704 7082894 8094736 8717408 14165788 16189472 17434816 22221607 28331576 32378944 44443214 56663152 88886428 113326304 155551249 177772856 226652608 288880891 311102498 355545712 577761782 622204996 711091424 1155523564 1244409992 1422182848 2022166237 2311047128 2488819984 4044332474 4622094256 4977639968 8088664948 9244188512 9955279936 16177329896 18488377024 32354659792 64709319584 129418639168