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7300052064 = 2532235918679
BaseRepresentation
bin1101100110001110…
…11111010001100000
3200211202100001211200
412303013133101200
5104422303131224
63204213241200
7345621263424
oct66307372140
920752301750
107300052064
113106764188
1214b8933200
138c4521646
144d3744b84
152cad385c9
hex1b31df460

7300052064 has 144 divisors (see below), whose sum is σ = 22030444800. Its totient is φ = 2287980288.

The previous prime is 7300052047. The next prime is 7300052077. The reversal of 7300052064 is 4602500037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×73000520642 (a number of 21 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381477 + ... + 400155.

It is an arithmetic number, because the mean of its divisors is an integer number (152989200).

Almost surely, 27300052064 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 7300052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015222400).

7300052064 is an abundant number, since it is smaller than the sum of its proper divisors (14730392736).

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

7300052064 is a wasteful number, since it uses less digits than its factorization.

7300052064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18777 (or 18766 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7300052064 is about 85440.3421341464. The cubic root of 7300052064 is about 1939.8820263400.

The spelling of 7300052064 in words is "seven billion, three hundred million, fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 59 69 72 92 96 118 138 144 177 184 207 236 276 288 354 368 414 472 531 552 708 736 828 944 1062 1104 1357 1416 1656 1888 2124 2208 2714 2832 3312 4071 4248 5428 5664 6624 8142 8496 10856 12213 16284 16992 18679 21712 24426 32568 37358 43424 48852 56037 65136 74716 97704 112074 130272 149432 168111 195408 224148 298864 336222 390816 429617 448296 597728 672444 859234 896592 1102061 1288851 1344888 1718468 1793184 2204122 2577702 2689776 3306183 3436936 3866553 4408244 5155404 5379552 6612366 6873872 7733106 8816488 9918549 10310808 13224732 13747744 15466212 17632976 19837098 20621616 25347403 26449464 30932424 35265952 39674196 41243232 50694806 52898928 61864848 76042209 79348392 101389612 105797856 123729696 152084418 158696784 202779224 228126627 304168836 317393568 405558448 456253254 608337672 811116896 912506508 1216675344 1825013016 2433350688 3650026032 7300052064