Search a number
-
+
129384831951 = 33831034871151
BaseRepresentation
bin111100001111111101…
…1111101101111001111
3110100222001101110201000
41320133323331233033
54104440004110301
6135234421551343
712230163632334
oct1703773755717
9410861343630
10129384831951
114a965401291
12210aa875553
13c27c5c7c7b
1463958d498b
153573d4b786
hex1e1fefdbcf

129384831951 has 64 divisors (see below), whose sum is σ = 196446781440. Its totient is φ = 84143512800.

The previous prime is 129384831949. The next prime is 129384832033. The reversal of 129384831951 is 159138483921.

It is a happy number.

129384831951 is a `hidden beast` number, since 12 + 93 + 8 + 483 + 19 + 51 = 666.

It is not a de Polignac number, because 129384831951 - 21 = 129384831949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129384831911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112410226 + ... + 112411376.

It is an arithmetic number, because the mean of its divisors is an integer number (3069480960).

Almost surely, 2129384831951 is an apocalyptic number.

129384831951 is a deficient number, since it is larger than the sum of its proper divisors (67061949489).

129384831951 is a wasteful number, since it uses less digits than its factorization.

129384831951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1827 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 129384831951 in words is "one hundred twenty-nine billion, three hundred eighty-four million, eight hundred thirty-one thousand, nine hundred fifty-one".

Divisors: 1 3 9 27 83 103 249 309 487 747 927 1151 1461 2241 2781 3453 4383 8549 10359 13149 25647 31077 40421 50161 76941 95533 118553 121263 150483 230823 286599 355659 363789 451449 560537 859797 1066977 1091367 1354347 1681611 2579391 3200931 4163363 5044833 9839899 12490089 15134499 29519697 37470267 46524571 57735311 88559091 112410801 139573713 173205933 265677273 418721139 519617799 1256163417 1558853397 4792030813 14376092439 43128277317 129384831951