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42364446324 = 2233530370527
BaseRepresentation
bin100111011101000111…
…100010011001110100
311001100110011212002120
4213131013202121310
51143230244240244
631243441035540
73026554565214
oct473507423164
9131313155076
1042364446324
1116a6a697612
128263925bb0
133cc1ba0425
14209c614244
15117e388819
hex9dd1e2674

42364446324 has 12 divisors (see below), whose sum is σ = 98850374784. Its totient is φ = 14121482104.

The previous prime is 42364446277. The next prime is 42364446331.

42364446324 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×423644463242 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1765185252 + ... + 1765185275.

It is an arithmetic number, because the mean of its divisors is an integer number (8237531232).

Almost surely, 242364446324 is an apocalyptic number.

It is an amenable number.

42364446324 is an abundant number, since it is smaller than the sum of its proper divisors (56485928460).

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

42364446324 is a wasteful number, since it uses less digits than its factorization.

42364446324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530370534 (or 3530370532 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 42364446324 in words is "forty-two billion, three hundred sixty-four million, four hundred forty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 3530370527 7060741054 10591111581 14121482108 21182223162 42364446324