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1445083738518 = 237292279714627
BaseRepresentation
bin10101000001110101101…
…100111111000110010110
312010011000101000000012010
4111001311230333012112
5142134012414113033
63023510131405050
7206255344051650
oct25016554770626
95104011000163
101445083738518
11507947108322
121b4097753786
13a6369c86c24
144dd2a0356d0
15278cb0de863
hex15075b3f196

1445083738518 has 96 divisors (see below), whose sum is σ = 3422331304704. Its totient is φ = 398474020224.

The previous prime is 1445083738517. The next prime is 1445083738541. The reversal of 1445083738518 is 8158373805441.

It is a super-2 number, since 2×14450837385182 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445083738517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98788321 + ... + 98802947.

It is an arithmetic number, because the mean of its divisors is an integer number (35649284424).

Almost surely, 21445083738518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445083738518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711165652352).

1445083738518 is an abundant number, since it is smaller than the sum of its proper divisors (1977247566186).

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

1445083738518 is a wasteful number, since it uses less digits than its factorization.

1445083738518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17494 (or 17465 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 1445083738518 in words is "one trillion, four hundred forty-five billion, eighty-three million, seven hundred thirty-eight thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 841 1218 1682 2523 2797 5046 5594 5887 8391 11774 14627 16782 17661 19579 29254 35322 39158 43881 58737 81113 87762 102389 117474 162226 204778 243339 307167 424183 486678 567791 614334 848366 1135582 1272549 1703373 2352277 2545098 2969281 3406746 4704554 5938562 7056831 8907843 12301307 14113662 16465939 17815686 24602614 32931878 36903921 40911719 49397817 73807842 81823438 86109149 98795634 122735157 172218298 245470314 258327447 286382033 516654894 572764066 859146099 1186439851 1718292198 2372879702 3559319553 7118639106 8305078957 16610157914 24915236871 34406755679 49830473742 68813511358 103220267037 206440534074 240847289753 481694579506 722541869259 1445083738518