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6945604080 = 2435137211241
BaseRepresentation
bin1100111011111110…
…11000000111110000
3122221001101020121120
412131333120013300
5103211033312310
63105112222240
7334055442402
oct63577300760
918831336546
106945604080
112a44681168
12141a09a980
13868c6b9cc
1449c63ab72
152a9b71b70
hex19dfd81f0

6945604080 has 80 divisors (see below), whose sum is σ = 21688638624. Its totient is φ = 1838632960.

The previous prime is 6945604069. The next prime is 6945604097. The reversal of 6945604080 is 804065496.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×69456040802 = 96482832072225292800, which 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72741 + ... + 138500.

Almost surely, 26945604080 is an apocalyptic number.

6945604080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6945604080 is an abundant number, since it is smaller than the sum of its proper divisors (14743034544).

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

6945604080 is a wasteful number, since it uses less digits than its factorization.

6945604080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211394 (or 211388 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6945604080 is about 83340.2908562239. The cubic root of 6945604080 is about 1907.9632611186.

The spelling of 6945604080 in words is "six billion, nine hundred forty-five million, six hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 32880 211241 422482 633723 844964 1056205 1267446 1689928 2112410 2534892 3168615 3379856 4224820 5069784 6337230 8449640 10139568 12674460 16899280 25348920 28940017 50697840 57880034 86820051 115760068 144700085 173640102 231520136 289400170 347280204 434100255 463040272 578800340 694560408 868200510 1157600680 1389120816 1736401020 2315201360 3472802040 6945604080