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12432033404 = 2275320694049
BaseRepresentation
bin10111001010000000…
…11100011001111100
31012002102001201202122
423211000130121330
5200430100032104
65413341342112
7620035353230
oct134500343174
935072051678
1012432033404
1152aa61677a
1224ab567938
1312318107ab
1485d1605c0
154cb6606be
hex2e501c67c

12432033404 has 48 divisors (see below), whose sum is σ = 25351704000. Its totient is φ = 5223668736.

The previous prime is 12432033401. The next prime is 12432033413. The reversal of 12432033404 is 40433023421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432033401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3068372 + ... + 3072420.

It is an arithmetic number, because the mean of its divisors is an integer number (528160500).

Almost surely, 212432033404 is an apocalyptic number.

12432033404 is a gapful number since it is divisible by the number (14) 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 12432033404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12675852000).

12432033404 is an abundant number, since it is smaller than the sum of its proper divisors (12919670596).

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

12432033404 is a wasteful number, since it uses less digits than its factorization.

12432033404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 12432033404 its reverse (40433023421), we get a palindrome (52865056825).

The spelling of 12432033404 in words is "twelve billion, four hundred thirty-two million, thirty-three thousand, four hundred four".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1484 2069 4049 4138 8098 8276 14483 16196 28343 28966 56686 57932 109657 113372 214597 219314 429194 438628 767599 858388 1502179 1535198 3004358 3070396 6008716 8377381 16754762 33509524 58641667 117283334 234566668 444001193 888002386 1776004772 3108008351 6216016702 12432033404