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4352324640768 = 213321323319489
BaseRepresentation
bin111111010101011010110…
…000111010000000000000
3120102002002222122212221100
4333111122300322000000
51032302030102001033
613131232541454400
7626305443020526
oct77253260720000
916362088585840
104352324640768
1114288a0881a35
125a3614871400
13257565188a30
14110921816316
157833214b513
hex3f55ac3a000

4352324640768 has 336 divisors, whose sum is σ = 13598547285960. Its totient is φ = 1333360852992.

The previous prime is 4352324640749. The next prime is 4352324640779. The reversal of 4352324640768 is 8670464232534.

4352324640768 is a `hidden beast` number, since 4 + 3 + 523 + 2 + 4 + 6 + 40 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 989531541504 + 3362793099264 = 994752^2 + 1833792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223312368 + ... + 223331856.

Almost surely, 24352324640768 is an apocalyptic number.

4352324640768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4352324640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799273642980).

4352324640768 is an abundant number, since it is smaller than the sum of its proper divisors (9246222645192).

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

4352324640768 is a wasteful number, since it uses less digits than its factorization.

4352324640768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19767 (or 19740 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 4352324640768 in words is "four trillion, three hundred fifty-two billion, three hundred twenty-four million, six hundred forty thousand, seven hundred sixty-eight".