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7318364064 = 2531119364751
BaseRepresentation
bin1101101000011010…
…10101111110100000
3200220000210102011220
412310031111332200
5104442000122224
63210105535040
7346233032244
oct66415257640
920800712156
107318364064
113116031270
121502aa4480
138c826364b
144d5d50424
152cc754279
hex1b4355fa0

7318364064 has 96 divisors (see below), whose sum is σ = 22060200960. Its totient is φ = 2100960000.

The previous prime is 7318364047. The next prime is 7318364069. The reversal of 7318364064 is 4604638137.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (7318364069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 162312 + ... + 202439.

It is an arithmetic number, because the mean of its divisors is an integer number (229793760).

Almost surely, 27318364064 is an apocalyptic number.

It is an amenable number.

7318364064 is an abundant number, since it is smaller than the sum of its proper divisors (14741836896).

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

7318364064 is a wasteful number, since it uses less digits than its factorization.

7318364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364794 (or 364786 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 7318364064 is about 85547.4375069178. The cubic root of 7318364064 is about 1941.5027206275.

The spelling of 7318364064 in words is "seven billion, three hundred eighteen million, three hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 364751 729502 1094253 1459004 2188506 2918008 4012261 4377012 5836016 6930269 8024522 8754024 11672032 12036783 13860538 16049044 17508048 20790807 24073566 27721076 32098088 35016096 41581614 48147132 55442152 64196176 76232959 83163228 96294264 110884304 128392352 152465918 166326456 192588528 221768608 228698877 304931836 332652912 385177056 457397754 609863672 665305824 914795508 1219727344 1829591016 2439454688 3659182032 7318364064