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34133325024 = 253518968521
BaseRepresentation
bin11111110010100000…
…010011010011100000
310021002210212120101010
4133302200103103200
51024401112400044
623403003340520
72315566322061
oct376240232340
9107083776333
1034133325024
1113526410327
126747221740
1332ac7c7856
14191b386568
15d4b937bb9
hex7f28134e0

34133325024 has 48 divisors (see below), whose sum is σ = 89618553360. Its totient is φ = 11375416320.

The previous prime is 34133325019. The next prime is 34133325113. The reversal of 34133325024 is 42052333143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34133324982 and 34133325000.

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, 463884 + ... + 532404.

It is an arithmetic number, because the mean of its divisors is an integer number (1867053195).

Almost surely, 234133325024 is an apocalyptic number.

It is an amenable number.

34133325024 is an abundant number, since it is smaller than the sum of its proper divisors (55485228336).

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

34133325024 is a wasteful number, since it uses less digits than its factorization.

34133325024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73723 (or 73715 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 34133325024 its reverse (42052333143), we get a palindrome (76185658167).

The spelling of 34133325024 in words is "thirty-four billion, one hundred thirty-three million, three hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5189 10378 15567 20756 31134 41512 62268 68521 83024 124536 137042 166048 205563 249072 274084 411126 498144 548168 822252 1096336 1644504 2192672 3289008 6578016 355555469 711110938 1066666407 1422221876 2133332814 2844443752 4266665628 5688887504 8533331256 11377775008 17066662512 34133325024