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3087969736644 = 223213417332
BaseRepresentation
bin101100111011111001010…
…101101101011111000100
3101221012120220211220211100
4230323321111231133010
5401043130223033034
610322332124140100
7436045524452352
oct54737125553704
911835526756740
103087969736644
11a9066745a971
1241a576997630
1319526ab40000
14a965c2dc7d2
15554d2731099
hex2cef956d7c4

3087969736644 has 135 divisors (see below), whose sum is σ = 8461035914513. Its totient is φ = 949596268608.

The previous prime is 3087969736589. The next prime is 3087969736669. The reversal of 3087969736644 is 4466379697803.

The square root of 3087969736644 is 1757262.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3079709108100 + 8260628544 = 1754910^2 + 90888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1781862802 + ... + 1781864534.

Almost surely, 23087969736644 is an apocalyptic number.

3087969736644 is the 1757262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3087969736644

3087969736644 is an abundant number, since it is smaller than the sum of its proper divisors (5373066177869).

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

3087969736644 is an frugal number, since it uses more digits than its factorization.

3087969736644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 3087969736644 in words is "three trillion, eighty-seven billion, nine hundred sixty-nine million, seven hundred thirty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 1733 2028 2197 3042 3466 4394 5199 6084 6591 6932 8788 10398 13182 15597 19773 20796 22529 26364 28561 31194 39546 45058 57122 62388 67587 79092 85683 90116 114244 135174 171366 202761 257049 270348 292877 342732 405522 514098 585754 811044 878631 1028196 1171508 1757262 2635893 3003289 3514524 3807401 5271786 6006578 7614802 9009867 10543572 11422203 12013156 15229604 18019734 22844406 27029601 34266609 36039468 39042757 45688812 49496213 54059202 68533218 78085514 98992426 108118404 117128271 137066436 148488639 156171028 197984852 234256542 296977278 351384813 445465917 468513084 507555841 593954556 702769626 890931834 1015111682 1405539252 1522667523 1781863668 2030223364 3045335046 4568002569 6090670092 6598225933 9136005138 13196451866 18272010276 19794677799 26392903732 39589355598 59384033397 79178711196 85776937129 118768066794 171553874258 237536133588 257330811387 343107748516 514661622774 771992434161 1029323245548 1543984868322 3087969736644