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423046803089664 = 2835132324189271
BaseRepresentation
bin110000000110000100100001…
…0011010111110100100000000
32001110212212202002021012100000
41200030021002122332210000
5420422144323042332124
64055425003545200000
7155052060103632645
oct14014110232764400
92043785662235300
10423046803089664
1111288316159a3a6
123b54537a490000
13152091b09a4c80
1476678086a9dcc
1533d96415b06c9
hex180c2426be900

423046803089664 has 2592 divisors, whose sum is σ = 1480594577978880. Its totient is φ = 119663905996800.

The previous prime is 423046803089663. The next prime is 423046803089681. The reversal of 423046803089664 is 466980308640324.

423046803089664 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 468 + 0 + 30 + 89 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is not an unprimeable number, because it can be changed into a prime (423046803089663) 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 287 ways as a sum of consecutive naturals, for example, 1561058313849 + ... + 1561058314119.

Almost surely, 2423046803089664 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 423046803089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740297288989440).

423046803089664 is an abundant number, since it is smaller than the sum of its proper divisors (1057547774889216).

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

423046803089664 is a wasteful number, since it uses less digits than its factorization.

423046803089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 423046803089664 in words is "four hundred twenty-three trillion, forty-six billion, eight hundred three million, eighty-nine thousand, six hundred sixty-four".