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20313681127680 = 283547112553641
BaseRepresentation
bin1001001111001101001011…
…01111110110100100000000
32122220222011100211211101110
410213212211233312210000
510130304404332041210
6111111550513203320
74164420645432003
oct447464557664400
978828140754343
1020313681127680
116521a90469026
122340b16860540
13b44758646665
1450328a38d53a
1525361368c420
hex1279a5bf6900

20313681127680 has 144 divisors (see below), whose sum is σ = 66257177543424. Its totient is φ = 5301726658560.

The previous prime is 20313681127673. The next prime is 20313681127703. The reversal of 20313681127680 is 8672118631302.

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

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, 56096341 + ... + 56457300.

It is an arithmetic number, because the mean of its divisors is an integer number (460119288496).

Almost surely, 220313681127680 is an apocalyptic number.

20313681127680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20313681127680 is an abundant number, since it is smaller than the sum of its proper divisors (45943496415744).

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

20313681127680 is a wasteful number, since it uses less digits than its factorization.

20313681127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112553712 (or 112553698 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

Adding to 20313681127680 its reverse (8672118631302), we get a palindrome (28985799758982).

The spelling of 20313681127680 in words is "twenty trillion, three hundred thirteen billion, six hundred eighty-one million, one hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 564 640 705 752 768 940 960 1128 1280 1410 1504 1880 1920 2256 2820 3008 3760 3840 4512 5640 6016 7520 9024 11280 12032 15040 18048 22560 30080 36096 45120 60160 90240 180480 112553641 225107282 337660923 450214564 562768205 675321846 900429128 1125536410 1350643692 1688304615 1800858256 2251072820 2701287384 3376609230 3601716512 4502145640 5290021127 5402574768 6753218460 7203433024 9004291280 10580042254 10805149536 13506436920 14406866048 15870063381 18008582560 21160084508 21610299072 26450105635 27012873840 28813732096 31740126762 36017165120 42320169016 43220598144 52900211270 54025747680 63480253524 72034330240 79350316905 84640338032 86441196288 105800422540 108051495360 126960507048 144068660480 158700633810 169280676064 211600845080 216102990720 253921014096 317401267620 338561352128 423201690160 432205981440 507842028192 634802535240 677122704256 846403380320 1015684056384 1269605070480 1354245408512 1692806760640 2031368112768 2539210140960 3385613521280 4062736225536 5078420281920 6771227042560 10156840563840 20313681127680