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12434877396 = 223210911172837
BaseRepresentation
bin10111001010010110…
…10010101111010100
31012002121102012222200
423211023102233110
5200431312034041
65413522324500
7620101466604
oct134513225724
935077365880
1012434877396
115301189487
1224b04b9730
131232298126
1485d6a0c04
154cba231b6
hex2e52d2bd4

12434877396 has 72 divisors (see below), whose sum is σ = 31760568840. Its totient is φ = 4101808896.

The previous prime is 12434877391. The next prime is 12434877457. The reversal of 12434877396 is 69377843421.

12434877396 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 487 + 73 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105884100 + 12328993296 = 10290^2 + 111036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434877391) 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, 4381690 + ... + 4384526.

Almost surely, 212434877396 is an apocalyptic number.

It is an amenable number.

12434877396 is an abundant number, since it is smaller than the sum of its proper divisors (19325691444).

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

12434877396 is a wasteful number, since it uses less digits than its factorization.

12434877396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4068 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 12434877396 in words is "twelve billion, four hundred thirty-four million, eight hundred seventy-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1117 1308 1962 2234 2837 3351 3924 4468 5674 6702 8511 10053 11348 13404 17022 20106 25533 34044 40212 51066 102132 121753 243506 309233 365259 487012 618466 730518 927699 1095777 1236932 1461036 1855398 2191554 2783097 3168929 3710796 4383108 5566194 6337858 9506787 11132388 12675716 19013574 28520361 38027148 57040722 114081444 345413261 690826522 1036239783 1381653044 2072479566 3108719349 4144959132 6217438698 12434877396