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20211240718848 = 29379331503207
BaseRepresentation
bin1001001100001110010111…
…10100101101001000000000
32122120011202010010212120110
410212013023310231020000
510122120110111000343
6110552525451511320
74154133246346644
oct446071364551000
978504663125513
1020211240718848
1164925a2530723
1223250a7758540
13b37bb137062a
144dc32d190c24
15250b1a098833
hex1261cbd2d200

20211240718848 has 160 divisors (see below), whose sum is σ = 54690416732160. Its totient is φ = 6631691489280.

The previous prime is 20211240718811. The next prime is 20211240718853. The reversal of 20211240718848 is 84881704211202.

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

It is a junction number, because it is equal to n+sod(n) for n = 20211240718797 and 20211240718806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39913261 + ... + 40416467.

It is an arithmetic number, because the mean of its divisors is an integer number (341815104576).

Almost surely, 220211240718848 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 20211240718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27345208366080).

20211240718848 is an abundant number, since it is smaller than the sum of its proper divisors (34479176013312).

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

20211240718848 is an equidigital number, since it uses as much as digits as its factorization.

20211240718848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503638 (or 503622 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 20211240718848 in words is "twenty trillion, two hundred eleven billion, two hundred forty million, seven hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 331 384 474 512 632 662 768 948 993 1264 1324 1536 1896 1986 2528 2648 3792 3972 5056 5296 7584 7944 10112 10592 15168 15888 20224 21184 26149 30336 31776 40448 42368 52298 60672 63552 78447 84736 104596 121344 127104 156894 169472 209192 254208 313788 418384 503207 508416 627576 836768 1006414 1255152 1509621 1673536 2012828 2510304 3019242 3347072 4025656 5020608 6038484 6694144 8051312 10041216 12076968 13388288 16102624 20082432 24153936 32205248 39753353 40164864 48307872 64410496 79506706 96615744 119260059 128820992 159013412 166561517 193231488 238520118 257641984 318026824 333123034 386462976 477040236 499684551 636053648 666246068 772925952 954080472 999369102 1272107296 1332492136 1908160944 1998738204 2544214592 2664984272 3816321888 3997476408 5088429184 5329968544 7632643776 7994952816 10176858368 10659937088 13158359843 15265287552 15989905632 20353716736 21319874176 26316719686 30530575104 31979811264 39475079529 42639748352 52633439372 61061150208 63959622528 78950159058 85279496704 105266878744 127919245056 157900318116 210533757488 255838490112 315800636232 421067514976 631601272464 842135029952 1263202544928 1684270059904 2526405089856 3368540119808 5052810179712 6737080239616 10105620359424 20211240718848