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34065926664 = 23371127123603
BaseRepresentation
bin11111101110011111…
…001100101000001000
310020221010001101012120
4133232133030220020
51024231334123124
623352155011240
72314120412310
oct375637145010
9106833041176
1034065926664
11134a1366a00
126728739b20
13329b85a273
141912440440
15d45a72d79
hex7ee7cca08

34065926664 has 192 divisors, whose sum is σ = 108495313920. Its totient is φ = 8723299200.

The previous prime is 34065926621. The next prime is 34065926711. The reversal of 34065926664 is 46662956043.

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 47 ways as a sum of consecutive naturals, for example, 1431487 + ... + 1455089.

It is an arithmetic number, because the mean of its divisors is an integer number (565079760).

Almost surely, 234065926664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34065926664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54247656960).

34065926664 is an abundant number, since it is smaller than the sum of its proper divisors (74429387256).

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

34065926664 is a wasteful number, since it uses less digits than its factorization.

34065926664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23712 (or 23697 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 34065926664 in words is "thirty-four billion, sixty-five million, nine hundred twenty-six thousand, six hundred sixty-four".