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34613436768 = 253360556633
BaseRepresentation
bin100000001111000111…
…110010000101100000
310022100021021202212120
4200033013302011200
51031342014434033
623522354024240
72333516233551
oct401707620540
9108307252776
1034613436768
1113752423399
12685bb78080
133358108341
141965042328
15d78b731b3
hex80f1f2160

34613436768 has 24 divisors (see below), whose sum is σ = 90860271768. Its totient is φ = 11537812224.

The previous prime is 34613436763. The next prime is 34613436829. The reversal of 34613436768 is 86763431643.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34613436768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34613436761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180278221 + ... + 180278412.

It is an arithmetic number, because the mean of its divisors is an integer number (3785844657).

Almost surely, 234613436768 is an apocalyptic number.

It is an amenable number.

34613436768 is an abundant number, since it is smaller than the sum of its proper divisors (56246835000).

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

34613436768 is a wasteful number, since it uses less digits than its factorization.

34613436768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360556646 (or 360556638 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

The spelling of 34613436768 in words is "thirty-four billion, six hundred thirteen million, four hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 360556633 721113266 1081669899 1442226532 2163339798 2884453064 4326679596 5768906128 8653359192 11537812256 17306718384 34613436768