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412432331232 = 25341104784637
BaseRepresentation
bin1100000000001101110…
…00011111000111100000
31110102120010012020022010
412000012320133013200
523224130134044412
6513245132112520
741540312654445
oct6000670370740
91412503166263
10412432331232
11149a03331909
1267b22905740
132cb7a22455c
1415d6739d9cc
15aadd0b733c
hex6006e1f1e0

412432331232 has 48 divisors (see below), whose sum is σ = 1109040608592. Its totient is φ = 134124334080.

The previous prime is 412432331221. The next prime is 412432331249. The reversal of 412432331232 is 232133234214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 412432331232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52388383 + ... + 52396254.

It is an arithmetic number, because the mean of its divisors is an integer number (23105012679).

Almost surely, 2412432331232 is an apocalyptic number.

It is an amenable number.

412432331232 is an abundant number, since it is smaller than the sum of its proper divisors (696608277360).

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

412432331232 is a wasteful number, since it uses less digits than its factorization.

412432331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104784691 (or 104784683 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 412432331232 its reverse (232133234214), we get a palindrome (644565565446).

The spelling of 412432331232 in words is "four hundred twelve billion, four hundred thirty-two million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 104784637 209569274 314353911 419138548 628707822 838277096 1257415644 1676554192 2514831288 3353108384 4296170117 5029662576 8592340234 10059325152 12888510351 17184680468 25777020702 34369360936 51554041404 68738721872 103108082808 137477443744 206216165616 412432331232