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437346044065007 = 71118131380214111
BaseRepresentation
bin110001101110000111000111…
…1100110011011010011101111
32010100111212120202212201202022
41203130032033212123103233
5424310434144240040012
64150053555441020355
7161056131450532130
oct14334161746332357
92110455522781668
10437346044065007
11117396463317880
12410747153246bb
1315a0572a4203ac
1479dd939139c87
1535865931db472
hex18dc38f99b4ef

437346044065007 has 16 divisors (see below), whose sum is σ = 548275100964864. Its totient is φ = 338906312388000.

The previous prime is 437346044064983. The next prime is 437346044065027. The reversal of 437346044065007 is 700560440643734.

It is not a de Polignac number, because 437346044065007 - 224 = 437346027287791 is a prime.

It is a super-2 number, since 2×4373460440650072 (a number of 30 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 437346044065007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (437346044065027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15690093119 + ... + 15690120992.

It is an arithmetic number, because the mean of its divisors is an integer number (34267193810304).

Almost surely, 2437346044065007 is an apocalyptic number.

437346044065007 is a deficient number, since it is larger than the sum of its proper divisors (110929056899857).

437346044065007 is a wasteful number, since it uses less digits than its factorization.

437346044065007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31380214310.

The product of its (nonzero) digits is 20321280, while the sum is 53.

The spelling of 437346044065007 in words is "four hundred thirty-seven trillion, three hundred forty-six billion, forty-four million, sixty-five thousand, seven".

Divisors: 1 7 11 77 181 1267 1991 13937 31380214111 219661498777 345182355221 2416276486547 5679818754091 39758731278637 62478006295001 437346044065007