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10388743020 = 2233531760689
BaseRepresentation
bin10011010110011011…
…11010001101101100
3222211000020211022000
421223031322031230
5132234004234040
64434510452300
7515304600345
oct115315721554
928730224260
1010388743020
1144511a1437
12201b204090
13c973ba026
14707a370cc
1540c09b130
hex26b37a36c

10388743020 has 96 divisors (see below), whose sum is σ = 32423025600. Its totient is φ = 2761546752.

The previous prime is 10388743003. The next prime is 10388743067. The reversal of 10388743020 is 2034788301.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 140836 + ... + 201524.

It is an arithmetic number, because the mean of its divisors is an integer number (337739850).

Almost surely, 210388743020 is an apocalyptic number.

10388743020 is a gapful number since it is divisible by the number (10) 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 10388743020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211512800).

10388743020 is an abundant number, since it is smaller than the sum of its proper divisors (22034282580).

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

10388743020 is a wasteful number, since it uses less digits than its factorization.

10388743020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61024 (or 61016 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10388743020 in words is "ten billion, three hundred eighty-eight million, seven hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 317 540 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 8559 9510 11412 14265 17118 19020 28530 34236 42795 57060 60689 85590 121378 171180 182067 242756 303445 364134 546201 606890 728268 910335 1092402 1213780 1638603 1820670 2184804 2731005 3277206 3641340 5462010 6554412 8193015 10924020 16386030 19238413 32772060 38476826 57715239 76953652 96192065 115430478 173145717 192384130 230860956 288576195 346291434 384768260 519437151 577152390 692582868 865728585 1038874302 1154304780 1731457170 2077748604 2597185755 3462914340 5194371510 10388743020