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20953421317780 = 2257246146379701
BaseRepresentation
bin1001100001110100110010…
…01111000000011010010100
32202012010102221212201012021
410300322121033000122110
510221300101324132110
6112321511401502524
74261556212350400
oct460723117003224
982163387781167
1020953421317780
116749329096636
122424ab64a1a44
13b8cb8c58a843
145262184d0100
152650a72c12da
hex130e993c0694

20953421317780 has 72 divisors (see below), whose sum is σ = 51297249043656. Its totient is φ = 7168446432000.

The previous prime is 20953421317721. The next prime is 20953421317799. The reversal of 20953421317780 is 8771312435902.

It can be written as a sum of positive squares in 4 ways, for example, as 1291486782096 + 19661934535684 = 1136436^2 + 4434178^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 22738071 + ... + 23641630.

It is an arithmetic number, because the mean of its divisors is an integer number (712461792273).

Almost surely, 220953421317780 is an apocalyptic number.

20953421317780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20953421317780 is an abundant number, since it is smaller than the sum of its proper divisors (30343827725876).

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

20953421317780 is a wasteful number, since it uses less digits than its factorization.

20953421317780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46380185 (or 46380176 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 20953421317780 in words is "twenty trillion, nine hundred fifty-three billion, four hundred twenty-one million, three hundred seventeen thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 461 490 922 980 1844 2305 3227 4610 6454 9220 12908 16135 22589 32270 45178 64540 90356 112945 225890 451780 46379701 92759402 185518804 231898505 324657907 463797010 649315814 927594020 1298631628 1623289535 2272605349 3246579070 4545210698 6493158140 9090421396 11363026745 21381042161 22726053490 42762084322 45452106980 85524168644 106905210805 149667295127 213810421610 299334590254 427620843220 598669180508 748336475635 1047671065889 1496672951270 2095342131778 2993345902540 4190684263556 5238355329445 10476710658890 20953421317780