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434216162702864 = 2441732124209961
BaseRepresentation
bin110001010111010101101010…
…0001000100011011000010000
32002221102122210221220122020002
41202232223110020203120100
5423403144200122442424
64135300052405105132
7160314040204106453
oct14256532410433020
92087378727818202
10434216162702864
1111639a049943393
124084a0023b81a8
13158395404868a9
14793226281b49a
15352ee5b26acae
hex18aead4223610

434216162702864 has 60 divisors (see below), whose sum is σ = 873780564941172. Its totient is φ = 208911215923200.

The previous prime is 434216162702863. The next prime is 434216162702867. The reversal of 434216162702864 is 468207261612434.

It can be written as a sum of positive squares in 6 ways, for example, as 101497403966464 + 332718758736400 = 10074592^2 + 18240580^2 .

It is a super-2 number, since 2×4342161627028642 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434216162702863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58609157 + ... + 65600804.

Almost surely, 2434216162702864 is an apocalyptic number.

It is an amenable number.

434216162702864 is an abundant number, since it is smaller than the sum of its proper divisors (439564402238308).

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

434216162702864 is a wasteful number, since it uses less digits than its factorization.

434216162702864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124210156 (or 124210077 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 56.

The spelling of 434216162702864 in words is "four hundred thirty-four trillion, two hundred sixteen billion, one hundred sixty-two million, seven hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 41 73 82 146 164 292 328 584 656 1168 2993 5329 5986 10658 11972 21316 23944 42632 47888 85264 218489 436978 873956 1747912 3495824 124209961 248419922 496839844 993679688 1987359376 5092608401 9067327153 10185216802 18134654306 20370433604 36269308612 40740867208 72538617224 81481734416 145077234448 371760413273 661914882169 743520826546 1323829764338 1487041653092 2647659528676 2974083306184 5295319057352 5948166612368 10590638114704 27138510168929 54277020337858 108554040675716 217108081351432 434216162702864