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432420400052 = 227311349926263
BaseRepresentation
bin1100100101011100100…
…00111010101110110100
31112100011010021100001022
412102232100322232310
524041044110300202
6530352353520312
743145531516534
oct6225620725664
91470133240038
10432420400052
11157430051853
126b980873098
1331a142b2604
1416d01c5b4c4
15b3acc77ea2
hex64ae43abb4

432420400052 has 48 divisors (see below), whose sum is σ = 775470864000. Its totient is φ = 210929660928.

The previous prime is 432420400051. The next prime is 432420400063. The reversal of 432420400052 is 250004024234.

It is a happy number.

It is a super-2 number, since 2×4324204000522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432420399994 and 432420400030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432420400051) 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, 16451873 + ... + 16478135.

It is an arithmetic number, because the mean of its divisors is an integer number (16155643000).

Almost surely, 2432420400052 is an apocalyptic number.

It is an amenable number.

432420400052 is a deficient number, since it is larger than the sum of its proper divisors (343050463948).

432420400052 is a wasteful number, since it uses less digits than its factorization.

432420400052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26952 (or 26950 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 432420400052 its reverse (250004024234), we get a palindrome (682424424286).

The spelling of 432420400052 in words is "four hundred thirty-two billion, four hundred twenty million, four hundred thousand, fifty-two".

Divisors: 1 2 4 73 113 146 226 292 452 499 998 1996 8249 16498 26263 32996 36427 52526 56387 72854 105052 112774 145708 225548 1917199 2967719 3834398 4116251 5935438 7668796 8232502 11870876 13105237 16465004 26210474 52420948 216643487 433286974 866573948 956682301 1480891781 1913364602 2961783562 3826729204 5923567124 108105100013 216210200026 432420400052