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427301650944 = 293573171931
BaseRepresentation
bin1100011011111010010…
…10011100001000000000
31111211221101102221100000
412031331022130020000
524000103210312234
6524144421200000
742604635051000
oct6157512341000
91454841387300
10427301650944
11155243707893
126a992560000
13313a997729c
14169780c8000
15b1ad6b6899
hex637d29c200

427301650944 has 1920 divisors, whose sum is σ = 1715890176000. Its totient is φ = 105345515520.

The previous prime is 427301650933. The next prime is 427301650987. The reversal of 427301650944 is 449056103724.

It is a super-2 number, since 2×4273016509442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 427301650944.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13783924209 + ... + 13783924239.

It is an arithmetic number, because the mean of its divisors is an integer number (893692800).

Almost surely, 2427301650944 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 427301650944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857945088000).

427301650944 is an abundant number, since it is smaller than the sum of its proper divisors (1288588525056).

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

427301650944 is an equidigital number, since it uses as much as digits as its factorization.

427301650944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 427301650944 in words is "four hundred twenty-seven billion, three hundred one million, six hundred fifty thousand, nine hundred forty-four".