Search a number
-
+
129645682504 = 23132293978329
BaseRepresentation
bin111100010111101111…
…1000001111101001000
3110101122020020001101121
41320233133001331020
54111003243320004
6135320340525024
712236512055512
oct1705737017510
9411566201347
10129645682504
114aa89676158
12211620b0774
13c2c1669400
1463bc3d6bb2
15358bbc5854
hex1e2f7c1f48

129645682504 has 96 divisors (see below), whose sum is σ = 273018249000. Its totient is φ = 57620699136.

The previous prime is 129645682501. The next prime is 129645682547. The reversal of 129645682504 is 405286546921.

It can be written as a sum of positive squares in 12 ways, for example, as 1631998404 + 128013684100 = 40398^2 + 357790^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (129645682501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15561412 + ... + 15569740.

Almost surely, 2129645682504 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 129645682504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136509124500).

129645682504 is an abundant number, since it is smaller than the sum of its proper divisors (143372566496).

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

129645682504 is a wasteful number, since it uses less digits than its factorization.

129645682504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8787 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 129645682504 in words is "one hundred twenty-nine billion, six hundred forty-five million, six hundred eighty-two thousand, five hundred four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 169 232 338 377 397 676 754 794 1352 1508 1588 3016 3176 4901 5161 8329 9802 10322 11513 16658 19604 20644 23026 33316 39208 41288 46052 66632 67093 92104 108277 134186 149669 216554 241541 268372 299338 433108 483082 536744 598676 866216 966164 1197352 1407601 1932328 1945697 2815202 3140033 3306613 3891394 5630404 6280066 6613226 7782788 11260808 12560132 13226452 15565576 25120264 26452904 40820429 42985969 81640858 85971938 95891777 163281716 171943876 191783554 326563432 343887752 383567108 558817597 767134216 1117635194 1246593101 2235270388 2493186202 4470540776 4986372404 9972744808 16205710313 32411420626 64822841252 129645682504