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432613016641 = 131929371632311
BaseRepresentation
bin1100100101110011011…
…11101100010001000001
31112100122112201021100001
412102321233230101001
524041442413013031
6530423434200001
743153360653121
oct6227157542101
91470575637301
10432613016641
11157519851513
126ba15283001
1331a45183020
1416d1d67ac81
15b3beb24861
hex64b9bec441

432613016641 has 32 divisors (see below), whose sum is σ = 521033990400. Its totient is φ = 355399591680.

The previous prime is 432613016629. The next prime is 432613016707. The reversal of 432613016641 is 146610316234.

It is a cyclic number.

It is not a de Polignac number, because 432613016641 - 219 = 432612492353 is a prime.

It is a super-2 number, since 2×4326130166412 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 432613016641.

It is not an unprimeable number, because it can be changed into a prime (432613016621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551125 + ... + 1081186.

It is an arithmetic number, because the mean of its divisors is an integer number (16282312200).

Almost surely, 2432613016641 is an apocalyptic number.

It is an amenable number.

432613016641 is a deficient number, since it is larger than the sum of its proper divisors (88420973759).

432613016641 is a wasteful number, since it uses less digits than its factorization.

432613016641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632409.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 432613016641 in words is "four hundred thirty-two billion, six hundred thirteen million, sixteen thousand, six hundred forty-one".

Divisors: 1 13 19 29 37 247 377 481 551 703 1073 7163 9139 13949 20387 265031 1632311 21220043 31013909 47337019 60395507 403180817 615381247 785141591 899403361 1147514633 1751469703 11692243693 14917690229 22769106139 33277924357 432613016641