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1085366321334 = 234238914832207
BaseRepresentation
bin11111100101101001101…
…11111100000010110110
310211202112001012212110000
433302310313330002312
5120240312234240314
62150335503012130
7141262250340231
oct17626467740266
93752461185400
101085366321334
11389334aa1689
12156426b9a046
137b47110b309
143a763b9c418
151d375deb209
hexfcb4dfc0b6

1085366321334 has 160 divisors (see below), whose sum is σ = 2569172981760. Its totient is φ = 341784862848.

The previous prime is 1085366321329. The next prime is 1085366321371. The reversal of 1085366321334 is 4331236635801.

It is a happy number.

1085366321334 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 3 + 6 + 632 + 1 + 3 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1085366321334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 491782459 + ... + 491784665.

It is an arithmetic number, because the mean of its divisors is an integer number (16057331136).

Almost surely, 21085366321334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085366321334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284586490880).

1085366321334 is an abundant number, since it is smaller than the sum of its proper divisors (1483806660426).

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

1085366321334 is a wasteful number, since it uses less digits than its factorization.

1085366321334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1085366321334 in words is "one trillion, eighty-five billion, three hundred sixty-six million, three hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 89 138 162 178 207 267 414 534 621 801 1242 1483 1602 1863 2047 2207 2403 2966 3726 4094 4414 4449 4806 6141 6621 7209 8898 12282 13242 13347 14418 18423 19863 26694 34109 36846 39726 40041 50761 55269 59589 68218 80082 101522 102327 110538 119178 120123 131987 152283 165807 178767 196423 204654 240246 263974 304566 306981 331614 357534 392846 395961 456849 589269 613962 791922 913698 920943 1178538 1187883 1370547 1767807 1841886 2375766 2741094 2762829 3035701 3272981 3535614 3563649 4111641 4517729 5303421 5525658 6071402 6545962 7127298 8223282 9035458 9107103 9818943 10606842 10690947 13553187 15910263 18214206 19637886 21381894 27106374 27321309 29456829 31820526 40659561 54642618 58913658 75278563 81319122 81963927 88370487 121978683 150557126 163927854 176740974 225835689 243957366 245891781 265111461 291295309 365936049 451671378 491783562 530222922 582590618 677507067 731872098 873885927 1355014134 1747771854 2032521201 2621657781 4065042402 5243315562 6097563603 6699792107 7864973343 12195127206 13399584214 15729946686 20099376321 23594920029 40198752642 47189840058 60298128963 120596257926 180894386889 361788773778 542683160667 1085366321334