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496430423000064 = 210327107191376531
BaseRepresentation
bin111000011100000000011011…
…1000001001100010000000000
32102002201021200201200211212100
41300320000313001030100000
51010032004001242000224
64515452553222230400
7206364625444165620
oct16070006701142000
92362637621624770
10496430423000064
111341a5a61961863
1247817660285400
131840025a103a97
148a83509998880
153c5d46416dac9
hex1c3803704c400

496430423000064 has 528 divisors, whose sum is σ = 1662180018610176. Its totient is φ = 139775647334400.

The previous prime is 496430423000053. The next prime is 496430423000119. The reversal of 496430423000064 is 460000324034694.

It is a happy number.

496430423000064 is a `hidden beast` number, since 4 + 96 + 430 + 42 + 30 + 0 + 0 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 496430422999983 and 496430423000019.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318243479 + ... + 1318620009.

Almost surely, 2496430423000064 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 496430423000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831090009305088).

496430423000064 is an abundant number, since it is smaller than the sum of its proper divisors (1165749595610112).

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

496430423000064 is a wasteful number, since it uses less digits than its factorization.

496430423000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376862 (or 376841 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 496430423000064 in words is "four hundred ninety-six trillion, four hundred thirty billion, four hundred twenty-three million, sixty-four", and thus it is an aban number.