Search a number
-
+
29743380612 = 223211271277157
BaseRepresentation
bin11011101100110101…
…111111100010000100
32211202212102021202100
4123230311333202010
5441403301134422
621355223512100
72102032364241
oct335465774204
984685367670
1029743380612
11116833aa0a0
125920bb8630
132a601757ca
1416223285c8
15b913387ac
hex6ecd7f884

29743380612 has 72 divisors (see below), whose sum is σ = 82322577792. Its totient is φ = 8979854400.

The previous prime is 29743380607. The next prime is 29743380637. The reversal of 29743380612 is 21608334792.

29743380612 is a `hidden beast` number, since 29 + 7 + 4 + 3 + 3 + 8 + 0 + 612 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31263 + ... + 245894.

It is an arithmetic number, because the mean of its divisors is an integer number (1143369136).

Almost surely, 229743380612 is an apocalyptic number.

29743380612 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29743380612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41161288896).

29743380612 is an abundant number, since it is smaller than the sum of its proper divisors (52579197180).

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

29743380612 is a wasteful number, since it uses less digits than its factorization.

29743380612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277449 (or 277444 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 29743380612 in words is "twenty-nine billion, seven hundred forty-three million, three hundred eighty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 271 396 542 813 1084 1626 2439 2981 3252 4878 5962 8943 9756 11924 17886 26829 35772 53658 107316 277157 554314 831471 1108628 1662942 2494413 3048727 3325884 4988826 6097454 9146181 9977652 12194908 18292362 27438543 36584724 54877086 75109547 109754172 150219094 225328641 300438188 450657282 675985923 826205017 901314564 1351971846 1652410034 2478615051 2703943692 3304820068 4957230102 7435845153 9914460204 14871690306 29743380612