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34455249648 = 24321912593293
BaseRepresentation
bin100000000101101100…
…010110001011110000
310021221020122000221100
4200011230112023300
51031031020442043
623454543324400
72326555534611
oct400554261360
9107836560840
1034455249648
11136810aa036
126816bb0700
133331400ab1
14194c025c08
15d69d27cd3
hex805b162f0

34455249648 has 60 divisors (see below), whose sum is σ = 101501949640. Its totient is φ = 10880604288.

The previous prime is 34455249643. The next prime is 34455249649. The reversal of 34455249648 is 84694255443.

34455249648 is a `hidden beast` number, since 3 + 4 + 4 + 552 + 49 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34455249594 and 34455249603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34455249643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6293911 + ... + 6299382.

Almost surely, 234455249648 is an apocalyptic number.

34455249648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34455249648 is an abundant number, since it is smaller than the sum of its proper divisors (67046699992).

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

34455249648 is a wasteful number, since it uses less digits than its factorization.

34455249648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12593326 (or 12593317 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 34455249648 in words is "thirty-four billion, four hundred fifty-five million, two hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 12593293 25186586 37779879 50373172 75559758 100746344 113339637 151119516 201492688 226679274 239272567 302239032 453358548 478545134 604478064 717817701 906717096 957090268 1435635402 1813434192 1914180536 2153453103 2871270804 3828361072 4306906206 5742541608 8613812412 11485083216 17227624824 34455249648