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332432020234233 = 323110111797154627
BaseRepresentation
bin100101110010110000101110…
…0011110100101111111111001
31121121001012011001210000001100
41023211201130132211333321
5322033031234134443413
63135005054541242013
7130010264235112053
oct11345413436457771
91547035131700040
10332432020234233
1196a1769aa34657
123134b676b63309
13113652884bbb0a
145c13b1d2c48d3
1528674be195a73
hex12e585c7a5ff9

332432020234233 has 24 divisors (see below), whose sum is σ = 500576865175296. Its totient is φ = 212348783268000.

The previous prime is 332432020234199. The next prime is 332432020234273.

332432020234233 is a `hidden beast` number, since 3 + 3 + 2 + 4 + 3 + 20 + 202 + 3 + 423 + 3 = 666.

332432020234233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332432020234233 - 212 = 332432020230137 is a prime.

It is a super-2 number, since 2×3324320202342332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332432020234273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5898549135 + ... + 5898605492.

It is an arithmetic number, because the mean of its divisors is an integer number (20857369382304).

Almost surely, 2332432020234233 is an apocalyptic number.

It is an amenable number.

332432020234233 is a deficient number, since it is larger than the sum of its proper divisors (168144844941063).

332432020234233 is a wasteful number, since it uses less digits than its factorization.

332432020234233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797154765 (or 11797154762 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

The spelling of 332432020234233 in words is "three hundred thirty-two trillion, four hundred thirty-two billion, twenty million, two hundred thirty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 31 93 101 279 303 909 3131 9393 28179 11797154627 35391463881 106174391643 365711793437 1097135380311 1191512617327 3291406140933 3574537851981 10723613555943 36936891137137 110810673411411 332432020234233