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32431434432 = 263168913721
BaseRepresentation
bin11110001101000100…
…000110101011000000
310002201012110120101020
4132031010012223000
51012404421400212
622522050105440
72225452433655
oct361504065300
9102635416336
1032431434432
1112832776781
12635127b280
13309b0388b7
1417d932bc2c
15c9c30dd8c
hex78d106ac0

32431434432 has 28 divisors (see below), whose sum is σ = 85808170776. Its totient is φ = 10810478080.

The previous prime is 32431434401. The next prime is 32431434433. The reversal of 32431434432 is 23443413423.

It is a happy number.

It is a super-3 number, since 3×324314344323 (a number of 33 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32431434393 and 32431434402.

It is not an unprimeable number, because it can be changed into a prime (32431434433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84456669 + ... + 84457052.

Almost surely, 232431434432 is an apocalyptic number.

32431434432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32431434432 is an abundant number, since it is smaller than the sum of its proper divisors (53376736344).

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

32431434432 is a wasteful number, since it uses less digits than its factorization.

32431434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168913736 (or 168913726 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 32431434432 its reverse (23443413423), we get a palindrome (55874847855).

The spelling of 32431434432 in words is "thirty-two billion, four hundred thirty-one million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 168913721 337827442 506741163 675654884 1013482326 1351309768 2026964652 2702619536 4053929304 5405239072 8107858608 10810478144 16215717216 32431434432