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445154164312 = 2311133114238821
BaseRepresentation
bin1100111101001010100…
…00010111111001011000
31120120000120002120201211
412132211100113321120
524243133431224222
6540300114352504
744106222651634
oct6364520277130
91516016076654
10445154164312
11161874a14370
127233528b734
1332c93478970
141778d0c1dc4
15b8a5b3a277
hex67a5417e58

445154164312 has 128 divisors (see below), whose sum is σ = 1013042257920. Its totient is φ = 180605376000.

The previous prime is 445154164307. The next prime is 445154164337. The reversal of 445154164312 is 213461451544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50460862 + ... + 50469682.

It is an arithmetic number, because the mean of its divisors is an integer number (7914392640).

Almost surely, 2445154164312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445154164312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506521128960).

445154164312 is an abundant number, since it is smaller than the sum of its proper divisors (567888093608).

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

445154164312 is a wasteful number, since it uses less digits than its factorization.

445154164312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10305 (or 10301 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The spelling of 445154164312 in words is "four hundred forty-five billion, one hundred fifty-four million, one hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1423 1612 2728 2846 3224 4433 5692 8821 8866 11384 15653 17642 17732 18499 31306 35284 35464 36998 44113 62612 70568 73996 88226 97031 114673 125224 147992 176452 194062 203489 229346 273451 352904 388124 406978 458692 485243 546902 573469 776248 813956 917384 970486 1093804 1146938 1261403 1627912 1940972 2187608 2293876 2522806 3007961 3554863 3881944 4587752 5045612 6015922 6308159 7109726 10091224 12031844 12552283 12616318 14219452 24063688 25104566 25232636 28438904 39103493 50209132 50465272 78206986 100418264 138075113 156413972 163179679 276150226 312827944 326359358 389120773 552300452 652718716 778241546 1104600904 1305437432 1556483092 1794976469 3112966184 3589952938 4280328503 5058570049 7179905876 8560657006 10117140098 14359811752 17121314012 20234280196 34242628024 40468560392 55644270539 111288541078 222577082156 445154164312