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32255968032 = 25321925572
BaseRepresentation
bin11110000010100110…
…110000001100100000
310002020222021221201200
4132002212300030200
51012030011434112
622452421201200
72221222130061
oct360246601440
9102228257650
1032255968032
1112752720222
126302560200
133070891422
1417bdcd4568
15c8bbedcdc
hex7829b0320

32255968032 has 162 divisors, whose sum is σ = 96983905473. Its totient is φ = 10167807744.

The previous prime is 32255968027. The next prime is 32255968037. The reversal of 32255968032 is 23086955223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

32255968032 is a `hidden beast` number, since 3 + 2 + 2 + 559 + 68 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (32255968027) and next prime (32255968037).

It can be written as a sum of positive squares in 2 ways, for example, as 25254295056 + 7001672976 = 158916^2 + 83676^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=126996.

It is not an unprimeable number, because it can be changed into a prime (32255968037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57909898 + ... + 57910454.

Almost surely, 232255968032 is an apocalyptic number.

32255968032 is a gapful number since it is divisible by the number (32) 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 32255968032

32255968032 is an abundant number, since it is smaller than the sum of its proper divisors (64727937441).

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

32255968032 is an equidigital number, since it uses as much as digits as its factorization.

32255968032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 32255968032 in words is "thirty-two billion, two hundred fifty-five million, nine hundred sixty-eight thousand, thirty-two".