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4295000064 = 215343691
BaseRepresentation
bin1000000000000000…
…01000000000000000
3102002022210121110110
410000000020000000
532244010000224
61550104431320
7211301620035
oct40000100000
912068717413
104295000064
111904463133
129ba478540
13535a8b774
142ca5c538c
151a20e7929
hex100008000

4295000064 has 64 divisors (see below), whose sum is σ = 11453420880. Its totient is φ = 1431633920.

The previous prime is 4295000051. The next prime is 4295000077. The reversal of 4295000064 is 4600005924.

Adding to 4295000064 its reverse (4600005924), we get a palindrome (8895005988).

It is an interprime number because it is at equal distance from previous prime (4295000051) and next prime (4295000077).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4294999995 and 4295000040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76459 + ... + 120149.

Almost surely, 24295000064 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 4295000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726710440).

4295000064 is an abundant number, since it is smaller than the sum of its proper divisors (7158420816).

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

4295000064 is an frugal number, since it uses more digits than its factorization.

4295000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43724 (or 43696 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4295000064 is about 65536.2499995232. The cubic root of 4295000064 is about 1625.5028110618.

The spelling of 4295000064 in words is "four billion, two hundred ninety-five million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 43691 49152 87382 98304 131073 174764 262146 349528 524292 699056 1048584 1398112 2097168 2796224 4194336 5592448 8388672 11184896 16777344 22369792 33554688 44739584 67109376 89479168 134218752 178958336 268437504 357916672 536875008 715833344 1073750016 1431666688 2147500032 4295000064