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731019870009 = 3211213219932
BaseRepresentation
bin10101010001101000010…
…11011111111100111001
32120212220000212001202100
422220310023133330321
543434112041320014
61315454220454013
7103546232241222
oct12506413377471
92525800761670
10731019870009
11262029728100
12b98150aa309
1353c1cc08400
142754ad90249
15140374da009
hexaa342dff39

731019870009 has 81 divisors (see below), whose sum is σ = 1257415023501. Its totient is φ = 408756965760.

The previous prime is 731019870001. The next prime is 731019870023. The reversal of 731019870009 is 900078910137.

The square root of 731019870009 is 854997.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16217258409 + 714802611600 = 127347^2 + 845460^2 .

It is not a de Polignac number, because 731019870009 - 23 = 731019870001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (731019870001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 366792717 + ... + 366794709.

Almost surely, 2731019870009 is an apocalyptic number.

731019870009 is the 854997-th square number.

731019870009 is the 427499-th centered octagonal number.

It is an amenable number.

731019870009 is a deficient number, since it is larger than the sum of its proper divisors (526395153492).

731019870009 is a wasteful number, since it uses less digits than its factorization.

731019870009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 731019870009 in words is "seven hundred thirty-one billion, nineteen million, eight hundred seventy thousand, nine".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 169 363 429 507 1089 1287 1521 1573 1859 1993 4719 5577 5979 14157 16731 17937 20449 21923 25909 61347 65769 77727 184041 197307 233181 241153 284999 336817 723459 854997 1010451 2170377 2564991 3031353 3134989 3704987 3972049 9404967 11114961 11916147 28214901 33344883 35748441 40754857 43692539 51636637 122264571 131077617 154909911 366793713 393232851 464729733 480617929 568003007 671276281 1441853787 1704009021 2013828843 4325561361 5112027063 6041486529 6248033077 7384039091 18744099231 22152117273 56232297693 66456351819 81224430001 243673290003 731019870009