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44276813820 = 223251717383639
BaseRepresentation
bin101001001111000110…
…101000111111111100
311020021201122012010100
4221033012220333330
51211134331020240
632201313441100
73125135464521
oct511706507774
9136251565110
1044276813820
111786111a618
1286b8270190
134238144325
1422005bb148
1512421dae30
hexa4f1a8ffc

44276813820 has 144 divisors (see below), whose sum is σ = 143030422080. Its totient is φ = 11048245248.

The previous prime is 44276813773. The next prime is 44276813839. The reversal of 44276813820 is 2831867244.

It is a happy number.

44276813820 is a `hidden beast` number, since 442 + 76 + 8 + 138 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487561 + ... + 571199.

It is an arithmetic number, because the mean of its divisors is an integer number (993266820).

Almost surely, 244276813820 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 44276813820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71515211040).

44276813820 is an abundant number, since it is smaller than the sum of its proper divisors (98753608260).

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

44276813820 is a wasteful number, since it uses less digits than its factorization.

44276813820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83844 (or 83839 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 44276813820 in words is "forty-four billion, two hundred seventy-six million, eight hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 173 180 204 255 306 340 346 510 519 612 692 765 865 1020 1038 1530 1557 1730 2076 2595 2941 3060 3114 3460 5190 5882 6228 7785 8823 10380 11764 14705 15570 17646 26469 29410 31140 35292 44115 52938 58820 83639 88230 105876 132345 167278 176460 250917 264690 334556 418195 501834 529380 752751 836390 1003668 1254585 1421863 1505502 1672780 2509170 2843726 3011004 3763755 4265589 5018340 5687452 7109315 7527510 8531178 12796767 14218630 14469547 15055020 17062356 21327945 25593534 28437260 28939094 42655890 43408641 51187068 57878188 63983835 72347735 85311780 86817282 127967670 130225923 144695470 173634564 217043205 245982299 255935340 260451846 289390940 434086410 491964598 520903692 651129615 737946897 868172820 983929196 1229911495 1302259230 1475893794 2213840691 2459822990 2604518460 2951787588 3689734485 4427681382 4919645980 7379468970 8855362764 11069203455 14758937940 22138406910 44276813820