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34212416560 = 245761093601
BaseRepresentation
bin11111110111001110…
…000000110000110000
310021022022200211120021
4133313032000300300
51030031334312220
623414510453224
72320546512460
oct376716006060
9107268624507
1034212416560
1113567020a33
126769804214
1332c2cca58a
141927a93ba0
15d5385c4aa
hex7f7380c30

34212416560 has 40 divisors (see below), whose sum is σ = 90907279776. Its totient is φ = 11729971200.

The previous prime is 34212416549. The next prime is 34212416569. The reversal of 34212416560 is 6561421243.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (34212416569) 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 7 ways as a sum of consecutive naturals, for example, 30546241 + ... + 30547360.

Almost surely, 234212416560 is an apocalyptic number.

It is an amenable number.

34212416560 is an abundant number, since it is smaller than the sum of its proper divisors (56694863216).

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

34212416560 is a wasteful number, since it uses less digits than its factorization.

34212416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61093621 (or 61093615 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 34212416560 in words is "thirty-four billion, two hundred twelve million, four hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 61093601 122187202 244374404 305468005 427655207 488748808 610936010 855310414 977497616 1221872020 1710620828 2138276035 2443744040 3421241656 4276552070 4887488080 6842483312 8553104140 17106208280 34212416560