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424631163096 = 2332721989109653
BaseRepresentation
bin1100010110111011111…
…11010101100011011000
31111121001021110002200200
412023131333111203120
523424121034204341
6523023423302200
742451520222100
oct6133577254330
91447037402620
10424631163096
111540a3248838
126a36814a960
133107262476a
14167a3578200
15b0a4010db6
hex62ddfd58d8

424631163096 has 576 divisors, whose sum is σ = 1439303580000. Its totient is φ = 112431255552.

The previous prime is 424631163091. The next prime is 424631163113. The reversal of 424631163096 is 690361136424.

424631163096 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 3 + 1 + 1 + 630 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424631163091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 650277106 + ... + 650277758.

Almost surely, 2424631163096 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 424631163096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719651790000).

424631163096 is an abundant number, since it is smaller than the sum of its proper divisors (1014672416904).

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

424631163096 is a wasteful number, since it uses less digits than its factorization.

424631163096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 424631163096 in words is "four hundred twenty-four billion, six hundred thirty-one million, one hundred sixty-three thousand, ninety-six".