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20631000080 = 24517101914887
BaseRepresentation
bin10011001101101101…
…000001010000010000
31222020210212101122002
4103031231001100100
5314223014000310
613251105533132
71330153415165
oct231555012020
958223771562
1020631000080
118827730799
123bb93441a8
131c3a338772
14dda01c06c
1580b35dda5
hex4cdb41410

20631000080 has 80 divisors (see below), whose sum is σ = 50841924480. Its totient is φ = 7758821376.

The previous prime is 20631000073. The next prime is 20631000083. The reversal of 20631000080 is 8000013602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20631000083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378397 + ... + 1393283.

It is an arithmetic number, because the mean of its divisors is an integer number (635524056).

Almost surely, 220631000080 is an apocalyptic number.

20631000080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20631000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25420962240).

20631000080 is an abundant number, since it is smaller than the sum of its proper divisors (30210924400).

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

20631000080 is a wasteful number, since it uses less digits than its factorization.

20631000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15936 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20631000080 its reverse (8000013602), we get a palindrome (28631013682).

The spelling of 20631000080 in words is "twenty billion, six hundred thirty-one million, eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1019 1360 2038 4076 5095 8152 10190 14887 16304 17323 20380 29774 34646 40760 59548 69292 74435 81520 86615 119096 138584 148870 173230 238192 253079 277168 297740 346460 506158 595480 692920 1012316 1190960 1265395 1385840 2024632 2530790 4049264 5061580 10123160 15169853 20246320 30339706 60679412 75849265 121358824 151698530 242717648 257887501 303397060 515775002 606794120 1031550004 1213588240 1289437505 2063100008 2578875010 4126200016 5157750020 10315500040 20631000080