Search a number
-
+
12929501790 = 2325838392063
BaseRepresentation
bin11000000101010100…
…01000101001011110
31020101002010202002200
430002222020221132
5202434423024130
65534552032330
7635255644332
oct140252105136
936332122080
1012929501790
115535404077
12260a0926a6
1312b08ba49a
148a92577c2
1550a178760
hex302a88a5e

12929501790 has 96 divisors (see below), whose sum is σ = 34078786560. Its totient is φ = 3400617408.

The previous prime is 12929501747. The next prime is 12929501831. The reversal of 12929501790 is 9710592921.

It is a super-2 number, since 2×129295017902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6266299 + ... + 6268361.

It is an arithmetic number, because the mean of its divisors is an integer number (354987360).

Almost surely, 212929501790 is an apocalyptic number.

12929501790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12929501790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17039393280).

12929501790 is an abundant number, since it is smaller than the sum of its proper divisors (21149284770).

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

12929501790 is a wasteful number, since it uses less digits than its factorization.

12929501790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 12929501790 in words is "twelve billion, nine hundred twenty-nine million, five hundred one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 839 1245 1494 1678 2063 2490 2517 3735 4126 4195 5034 6189 7470 7551 8390 10315 12378 12585 15102 18567 20630 25170 30945 37134 37755 61890 69637 75510 92835 139274 171229 185670 208911 342458 348185 417822 513687 626733 696370 856145 1027374 1044555 1253466 1541061 1712290 1730857 2089110 2568435 3082122 3133665 3461714 5136870 5192571 6267330 7705305 8654285 10385142 15410610 15577713 17308570 25962855 31155426 51925710 77888565 143661131 155777130 287322262 430983393 718305655 861966786 1292950179 1436611310 2154916965 2585900358 4309833930 6464750895 12929501790