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47820315883780 = 225112232693319031
BaseRepresentation
bin10101101111110000010001…
…11100001111100100000100
320021022120121000221120000101
422313320020330033210010
522231442001331240110
6245412203322053444
713033622002215646
oct1267701074174404
9207276530846011
1047820315883780
1114267533709300
125443a9304a284
13208b589b16b5b
14bb4730ca8896
1557ddb207413a
hex2b7e08f0f904

47820315883780 has 144 divisors (see below), whose sum is σ = 115224282093312. Its totient is φ = 16626924793600.

The previous prime is 47820315883771. The next prime is 47820315883793. The reversal of 47820315883780 is 8738851302874.

It is a super-2 number, since 2×478203158837802 (a number of 28 digits) contains 22 as substring.

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, 149732865 + ... + 150051895.

It is an arithmetic number, because the mean of its divisors is an integer number (800168625648).

Almost surely, 247820315883780 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 47820315883780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57612141046656).

47820315883780 is an abundant number, since it is smaller than the sum of its proper divisors (67403966209532).

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

47820315883780 is a wasteful number, since it uses less digits than its factorization.

47820315883780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321778 (or 321765 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 64.

The spelling of 47820315883780 in words is "forty-seven trillion, eight hundred twenty billion, three hundred fifteen million, eight hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2693 2783 5060 5386 5566 10772 11132 13465 13915 26930 27830 29623 53860 55660 59246 61939 118492 123878 148115 247756 296230 309695 319031 325853 592460 619390 638062 651706 681329 1238780 1276124 1303412 1362658 1595155 1629265 2725316 3190310 3258530 3406645 3509341 6380620 6517060 6813290 7018682 7337713 7494619 13626580 14037364 14675426 14989238 17546705 29350852 29978476 35093410 36688565 37473095 38602751 70186820 73377130 74946190 77205502 80714843 146754260 149892380 154411004 161429686 193013755 322859372 386027510 403574215 772055020 807148430 859150483 887863273 1614296860 1718300966 1775726546 3436601932 3551453092 4295752415 4439316365 8591504830 8878632730 9450655313 17183009660 17757265460 18901310626 19760461109 37802621252 39520922218 47253276565 79041844436 94506553130 98802305545 103957208443 189013106260 197604611090 207914416886 217365072199 395209222180 415828833772 434730144398 519786042215 869460288796 1039572084430 1086825360995 2079144168860 2173650721990 2391015794189 4347301443980 4782031588378 9564063176756 11955078970945 23910157941890 47820315883780