Search a number
-
+
129866733344 = 253725121741
BaseRepresentation
bin111100011110010101…
…0010001011100100000
3110102012122011121010202
41320330222101130200
54111431340431334
6135354314444332
712245135006555
oct1707452213440
9412178147122
10129866733344
11500924269a7
12212041336a8
13c3283b421a
1463dd8d8a2c
1535a12dc17e
hex1e3ca91720

129866733344 has 72 divisors (see below), whose sum is σ = 263787022044. Its totient is φ = 62890560000.

The previous prime is 129866733343. The next prime is 129866733377. The reversal of 129866733344 is 443337668921.

It can be written as a sum of positive squares in 2 ways, for example, as 127035216400 + 2831516944 = 356420^2 + 53212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 129866733344.

It is not an unprimeable number, because it can be changed into a prime (129866733343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74592314 + ... + 74594054.

Almost surely, 2129866733344 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 129866733344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131893511022).

129866733344 is an abundant number, since it is smaller than the sum of its proper divisors (133920288700).

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

129866733344 is an equidigital number, since it uses as much as digits as its factorization.

129866733344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2031 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 56.

The spelling of 129866733344 in words is "one hundred twenty-nine billion, eight hundred sixty-six million, seven hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 148 251 296 502 592 1004 1184 1741 2008 3482 4016 6964 8032 9287 13928 18574 27856 37148 55712 63001 64417 74296 126002 128834 148592 252004 257668 297184 436991 504008 515336 873982 1008016 1030672 1747964 2016032 2061344 2331037 3495928 4662074 6991856 9324148 13983712 16168667 18648296 32337334 37296592 64674668 74593184 109684741 129349336 219369482 258698672 438738964 517397344 877477928 1754955856 3509911712 4058335417 8116670834 16233341668 32466683336 64933366672 129866733344