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10055590709520 = 2435631190734819
BaseRepresentation
bin1001001001010011111111…
…1010011000100100010000
31022121022020101221220010210
42102110333322120210100
52304222322210201040
633215250302524120
72055330624520566
oct222247772304420
938538211856123
1010055590709520
113227608896964
121164a10b96640
1357c31324ba95
1426a99c169a36
15126880524480
hex9253fe98910

10055590709520 has 160 divisors (see below), whose sum is σ = 31239002004480. Its totient is φ = 2675760514560.

The previous prime is 10055590709513. The next prime is 10055590709561. The reversal of 10055590709520 is 2590709555001.

It is a super-2 number, since 2×100555907095202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10055590709520.

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, 288778671 + ... + 288813489.

It is an arithmetic number, because the mean of its divisors is an integer number (195243762528).

Almost surely, 210055590709520 is an apocalyptic number.

10055590709520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055590709520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619501002240).

10055590709520 is an abundant number, since it is smaller than the sum of its proper divisors (21183411294960).

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

10055590709520 is a wasteful number, since it uses less digits than its factorization.

10055590709520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37373 (or 37367 counting only the distinct ones).

The product of its (nonzero) digits is 708750, while the sum is 48.

The spelling of 10055590709520 in words is "ten trillion, fifty-five billion, five hundred ninety million, seven hundred nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631 1262 1893 1907 2524 3155 3786 3814 5048 5721 6310 7572 7628 9465 9535 10096 11442 12620 15144 15256 18930 19070 22884 25240 28605 30288 30512 34819 37860 38140 45768 50480 57210 69638 75720 76280 91536 104457 114420 139276 151440 152560 174095 208914 228840 278552 348190 417828 457680 522285 557104 696380 835656 1044570 1203317 1392760 1671312 2089140 2406634 2785520 3609951 4178280 4813268 6016585 7219902 8356560 9626536 12033170 14439804 18049755 19253072 21970789 24066340 28879608 36099510 43941578 48132680 57759216 65912367 66399833 72199020 87883156 96265360 109853945 131824734 132799666 144398040 175766312 199199499 219707890 263649468 265599332 288796080 329561835 331999165 351532624 398398998 439415780 527298936 531198664 659123670 663998330 796797996 878831560 995997495 1054597872 1062397328 1318247340 1327996660 1593595992 1757663120 1991994990 2636494680 2655993320 3187191984 3983989980 5272989360 5311986640 7967979960 15935959920 41898294623 83796589246 125694883869 167593178492 209491473115 251389767738 335186356984 418982946230 502779535476 628474419345 670372713968 837965892460 1005559070952 1256948838690 1675931784920 2011118141904 2513897677380 3351863569840 5027795354760 10055590709520