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6097006064 = 241923386077
BaseRepresentation
bin1011010110110100…
…01110110111110000
3120201220120222222102
411223122032313300
544441313143224
62444555555532
7304042460612
oct55332166760
916656528872
106097006064
112649667996
121221a5bba8
137622018c6
1441ba60db2
1525a3ea4ae
hex16b68edf0

6097006064 has 40 divisors (see below), whose sum is σ = 12488196240. Its totient is φ = 2875627008.

The previous prime is 6097006043. The next prime is 6097006073. The reversal of 6097006064 is 4606007906.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 7 ways as a sum of consecutive naturals, for example, 27794 + ... + 113870.

It is an arithmetic number, because the mean of its divisors is an integer number (312204906).

Almost surely, 26097006064 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 6097006064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244098120).

6097006064 is an abundant number, since it is smaller than the sum of its proper divisors (6391190176).

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

6097006064 is a wasteful number, since it uses less digits than its factorization.

6097006064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86337 (or 86331 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 6097006064 is about 78083.3276954818. The cubic root of 6097006064 is about 1826.8611589548.

The spelling of 6097006064 in words is "six billion, ninety-seven million, six thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 233 304 466 932 1864 3728 4427 8854 17708 35416 70832 86077 172154 344308 688616 1377232 1635463 3270926 6541852 13083704 20055941 26167408 40111882 80223764 160447528 320895056 381062879 762125758 1524251516 3048503032 6097006064