Search a number
-
+
12369568128 = 273291110773
BaseRepresentation
bin10111000010100100…
…01010000110000000
31011221001112011111220
423201102022012000
5200313102140003
65403230435040
7615346410561
oct134122120600
934831464456
1012369568128
115278331685
122492662a80
1312218ac6a8
14854b40168
154c5e22353
hex2e148a180

12369568128 has 64 divisors (see below), whose sum is σ = 33989684400. Its totient is φ = 3981006848.

The previous prime is 12369568121. The next prime is 12369568151. The reversal of 12369568128 is 82186596321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12369568121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544251 + ... + 566522.

Almost surely, 212369568128 is an apocalyptic number.

It is an amenable number.

12369568128 is an abundant number, since it is smaller than the sum of its proper divisors (21620116272).

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

12369568128 is a wasteful number, since it uses less digits than its factorization.

12369568128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110819 (or 1110807 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 12369568128 in words is "twelve billion, three hundred sixty-nine million, five hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 1110773 2221546 3332319 4443092 6664638 8886184 13329276 17772368 26658552 32212417 35544736 53317104 64424834 71089472 96637251 106634208 128849668 142178944 193274502 213268416 257699336 386549004 426536832 515398672 773098008 1030797344 1546196016 2061594688 3092392032 4123189376 6184784064 12369568128