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12432004104 = 2331340199367
BaseRepresentation
bin10111001010000000…
…10101010000001000
31012002102000020120110
423211000111100020
5200430043112404
65413340554320
7620035201632
oct134500252010
935072006513
1012432004104
1152aa5a6763
1224ab5529a0
131231800360
1485d153a52
154cb656b89
hex2e5015408

12432004104 has 64 divisors (see below), whose sum is σ = 33554586240. Its totient is φ = 3815654400.

The previous prime is 12432004099. The next prime is 12432004129. The reversal of 12432004104 is 40140023421.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75429 + ... + 174795.

It is an arithmetic number, because the mean of its divisors is an integer number (524290410).

Almost surely, 212432004104 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 12432004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777293120).

12432004104 is an abundant number, since it is smaller than the sum of its proper divisors (21122582136).

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

12432004104 is a wasteful number, since it uses less digits than its factorization.

12432004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99790 (or 99786 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12432004104 its reverse (40140023421), we get a palindrome (52572027525).

The spelling of 12432004104 in words is "twelve billion, four hundred thirty-two million, four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 401 802 1203 1604 2406 3208 4812 5213 9624 10426 15639 20852 31278 41704 62556 99367 125112 198734 298101 397468 596202 794936 1192404 1291771 2384808 2583542 3875313 5167084 7750626 10334168 15501252 31002504 39846167 79692334 119538501 159384668 239077002 318769336 478154004 518000171 956308008 1036000342 1554000513 2072000684 3108001026 4144001368 6216002052 12432004104