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437239660081 = 72944632
BaseRepresentation
bin1100101110011011000…
…00111011111000110001
31112210120222120002222111
412113031200323320301
524130431323110311
6532510511205321
743406130534400
oct6271540737061
91483528502874
10437239660081
11159483431184
12708a6816841
133230186b573
141723bd11637
15b590dcbd21
hex65cd83be31

437239660081 has 9 divisors (see below), whose sum is σ = 508631111481. Its totient is φ = 374772884052.

The previous prime is 437239660079. The next prime is 437239660103. The reversal of 437239660081 is 180066932734.

The square root of 437239660081 is 661241.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 437239660081 - 21 = 437239660079 is a prime.

It is a super-2 number, since 2×4372396600812 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (437239660021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4581456 + ... + 4675918.

Almost surely, 2437239660081 is an apocalyptic number.

437239660081 is the 661241-st square number.

437239660081 is the 330621-st centered octagonal number.

It is an amenable number.

437239660081 is a deficient number, since it is larger than the sum of its proper divisors (71391451400).

437239660081 is an frugal number, since it uses more digits than its factorization.

437239660081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188940 (or 94470 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 437239660081 by its sum of digits (49), we get a square (21424743343969 = 46286872).

437239660081 divided by its sum of digits (49) gives a square (8923258369 = 944632).

The spelling of 437239660081 in words is "four hundred thirty-seven billion, two hundred thirty-nine million, six hundred sixty thousand, eighty-one".

Divisors: 1 7 49 94463 661241 4628687 8923258369 62462808583 437239660081