Search a number
-
+
12000049024 = 27475773457
BaseRepresentation
bin10110010110100001…
…00011011110000000
31010222022012122121011
423023100203132000
5144034003032044
65302430410304
7603241506445
oct131320433600
933868178534
1012000049024
1150a8795497
1223aa960994
131193180c32
1481ba319cc
154a3780134
hex2cb423780

12000049024 has 64 divisors (see below), whose sum is σ = 24464381760. Its totient is φ = 5860491264.

The previous prime is 12000048989. The next prime is 12000049091. The reversal of 12000049024 is 42094000021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12000048986 and 12000049004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3469504 + ... + 3472960.

It is an arithmetic number, because the mean of its divisors is an integer number (382255965).

Almost surely, 212000049024 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 12000049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12232190880).

12000049024 is an abundant number, since it is smaller than the sum of its proper divisors (12464332736).

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

12000049024 is an equidigital number, since it uses as much as digits as its factorization.

12000049024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12000049024 its reverse (42094000021), we get a palindrome (54094049045).

The spelling of 12000049024 in words is "twelve billion, forty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 577 752 1154 1504 2308 3008 3457 4616 6016 6914 9232 13828 18464 27119 27656 36928 54238 55312 73856 108476 110624 162479 216952 221248 324958 433904 442496 649916 867808 1299832 1735616 1994689 2599664 3471232 3989378 5199328 7978756 10398656 15957512 20797312 31915024 63830048 93750383 127660096 187500766 255320192 375001532 750003064 1500006128 3000012256 6000024512 12000049024