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64305130336 = 2519239747407
BaseRepresentation
bin111011111000111000…
…100110101101100000
320010222112110002022221
4323320320212231200
52023144103132321
645312534040424
74434353406046
oct737070465540
9203875402287
1064305130336
11252a962a217
12105677a9114
1360aa6548a5
143180554396
151a1569be41
hexef8e26b60

64305130336 has 96 divisors (see below), whose sum is σ = 140494556160. Its totient is φ = 28834983936.

The previous prime is 64305130277. The next prime is 64305130349. The reversal of 64305130336 is 63303150346.

It is a super-3 number, since 3×643051303363 (a number of 33 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1332745 + ... + 1380151.

It is an arithmetic number, because the mean of its divisors is an integer number (1463484960).

Almost surely, 264305130336 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 64305130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70247278080).

64305130336 is an abundant number, since it is smaller than the sum of its proper divisors (76189425824).

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

64305130336 is a wasteful number, since it uses less digits than its factorization.

64305130336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47556 (or 47548 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 34.

The spelling of 64305130336 in words is "sixty-four billion, three hundred five million, one hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 97 152 184 194 304 368 388 437 608 736 776 874 1552 1748 1843 2231 3104 3496 3686 4462 6992 7372 8924 13984 14744 17848 29488 35696 42389 47407 58976 71392 84778 94814 169556 189628 339112 379256 678224 758512 900733 1090361 1356448 1517024 1801466 2180722 3602932 4361444 4598479 7205864 8722888 9196958 14411728 17445776 18393916 20716859 28823456 34891552 36787832 41433718 73575664 82867436 87371101 105765017 147151328 165734872 174742202 211530034 331469744 349484404 423060068 662939488 698968808 846120136 1397937616 1692240272 2009535323 2795875232 3384480544 4019070646 8038141292 16076282584 32152565168 64305130336