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20211052795440 = 24351348953132329
BaseRepresentation
bin1001001100001110000001…
…00111110101011000110000
32122120011021000112101010020
410212013000213311120300
510122114214003423230
6110552455100003440
74154125505131203
oct446070047653060
978504230471106
1020211052795440
116492506447021
122325054830580
13b37b81454150
144dc31223393a
15250b08827810
hex1261c09f5630

20211052795440 has 160 divisors (see below), whose sum is σ = 67475710653120. Its totient is φ = 4974889156608.

The previous prime is 20211052795433. The next prime is 20211052795489. The reversal of 20211052795440 is 4459725011202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20211052795392 and 20211052795401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152667196 + ... + 152799524.

It is an arithmetic number, because the mean of its divisors is an integer number (421723191582).

Almost surely, 220211052795440 is an apocalyptic number.

20211052795440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211052795440 is an abundant number, since it is smaller than the sum of its proper divisors (47264657857680).

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

20211052795440 is a wasteful number, since it uses less digits than its factorization.

20211052795440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181311 (or 181305 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 20211052795440 in words is "twenty trillion, two hundred eleven billion, fifty-two million, seven hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 48953 97906 132329 146859 195812 244765 264658 293718 391624 396987 489530 529316 587436 636389 661645 734295 783248 793974 979060 1058632 1174872 1272778 1323290 1468590 1587948 1720277 1909167 1958120 1984935 2117264 2349744 2545556 2646580 2937180 3175896 3181945 3440554 3818334 3916240 3969870 5091112 5160831 5293160 5874360 6351792 6363890 6881108 7636668 7939740 8601385 9545835 10182224 10321662 10586320 11748720 12727780 13762216 15273336 15879480 17202770 19091670 20643324 25455560 25804155 27524432 30546672 31758960 34405540 38183340 41286648 50911120 51608310 68811080 76366680 82573296 103216620 137622160 152733360 206433240 412866480 6477901537 12955803074 19433704611 25911606148 32389507685 38867409222 51823212296 64779015370 77734818444 84212719981 97168523055 103646424592 129558030740 155469636888 168425439962 194337046110 252638159943 259116061480 310939273776 336850879924 388674092220 421063599905 505276319886 518232122960 673701759848 777348184440 842127199810 1010552639772 1263190799715 1347403519696 1554696368880 1684254399620 2021105279544 2526381599430 3368508799240 4042210559088 5052763198860 6737017598480 10105526397720 20211052795440