Search a number
-
+
129497127804 = 2232111033798377
BaseRepresentation
bin111100010011010100…
…0010101101101111100
3110101020212200200122200
41320212220111231330
54110202231042204
6135253512511500
712233026265442
oct1704650255574
9411225620580
10129497127804
114aa12830880
12211203ab590
13c299955315
1463a67a6b92
15357db2e539
hex1e26a15b7c

129497127804 has 144 divisors (see below), whose sum is σ = 361559627520. Its totient is φ = 38753406720.

The previous prime is 129497127787. The next prime is 129497127811. The reversal of 129497127804 is 408721794921.

129497127804 is a `hidden beast` number, since 1 + 29 + 497 + 127 + 8 + 0 + 4 = 666.

It is a super-2 number, since 2×1294971278042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15454464 + ... + 15462840.

Almost surely, 2129497127804 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 129497127804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180779813760).

129497127804 is an abundant number, since it is smaller than the sum of its proper divisors (232062499716).

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

129497127804 is a wasteful number, since it uses less digits than its factorization.

129497127804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8880 (or 8875 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 129497127804 in words is "one hundred twenty-nine billion, four hundred ninety-seven million, one hundred twenty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 379 396 412 618 758 927 1133 1137 1236 1516 1854 2266 2274 3399 3411 3708 4169 4532 4548 6798 6822 8338 8377 10197 12507 13596 13644 16676 16754 20394 25014 25131 33508 37521 39037 40788 50028 50262 75042 75393 78074 92147 100524 117111 150084 150786 156148 184294 234222 276441 301572 351333 368588 429407 468444 552882 702666 829323 858814 862831 1105764 1288221 1405332 1658646 1717628 1725662 2576442 2588493 3174883 3317292 3451324 3864663 5152884 5176986 6349766 7729326 7765479 9491141 9524649 10353972 12699532 15458652 15530958 18982282 19049298 28473423 28573947 31061916 34923713 37964564 38098596 56946846 57147894 69847426 85420269 104771139 113893692 114295788 139694852 170840538 209542278 314313417 327012949 341681076 419084556 628626834 654025898 981038847 1257253668 1308051796 1962077694 2943116541 3597142439 3924155388 5886233082 7194284878 10791427317 11772466164 14388569756 21582854634 32374281951 43165709268 64748563902 129497127804