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444091491768 = 233472271734353
BaseRepresentation
bin1100111011001011110…
…10100110010110111000
31120110021111111020001110
412131211322212112320
524233444410214033
6540002433520320
744041000253151
oct6354572462670
91513244436043
10444091491768
1116137a0847a1
12720994130a0
1332b54267242
14176cbcdc928
15b8426c9363
hex6765ea65b8

444091491768 has 64 divisors (see below), whose sum is σ = 1138846210560. Its totient is φ = 144242587136.

The previous prime is 444091491761. The next prime is 444091491769. The reversal of 444091491768 is 867194190444.

It is a super-2 number, since 2×4440914917682 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444091491761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611121 + ... + 1123232.

It is an arithmetic number, because the mean of its divisors is an integer number (17794472040).

Almost surely, 2444091491768 is an apocalyptic number.

It is an amenable number.

444091491768 is an abundant number, since it is smaller than the sum of its proper divisors (694754718792).

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

444091491768 is a wasteful number, since it uses less digits than its factorization.

444091491768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734636 (or 1734632 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 444091491768 in words is "four hundred forty-four billion, ninety-one million, four hundred ninety-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 227 282 376 454 564 681 908 1128 1362 1816 2724 5448 10669 21338 32007 42676 64014 85352 128028 256056 1734353 3468706 5203059 6937412 10406118 13874824 20812236 41624472 81514591 163029182 244543773 326058364 393698131 489087546 652116728 787396262 978175092 1181094393 1574792524 1956350184 2362188786 3149585048 4724377572 9448755144 18503812157 37007624314 55511436471 74015248628 111022872942 148030497256 222045745884 444091491768