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36001024020 = 22335135128351
BaseRepresentation
bin100001100001110101…
…000000100000010100
310102220222021111202000
4201201311000200110
51042212230232040
624312202515300
72413065440463
oct414165004024
9112828244660
1036001024020
11142a4704215
126b88805b30
13351972bca0
141a574429da
15e0a8b5130
hex861d40814

36001024020 has 96 divisors (see below), whose sum is σ = 120618839040. Its totient is φ = 8861788800.

The previous prime is 36001023937. The next prime is 36001024051. The reversal of 36001024020 is 2042010063.

It is a happy number.

36001024020 is a `hidden beast` number, since 3 + 600 + 1 + 0 + 2 + 40 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 36001023984 and 36001024002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2557156 + ... + 2571195.

It is an arithmetic number, because the mean of its divisors is an integer number (1256446240).

Almost surely, 236001024020 is an apocalyptic number.

36001024020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36001024020 is an abundant number, since it is smaller than the sum of its proper divisors (84617815020).

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

36001024020 is a wasteful number, since it uses less digits than its factorization.

36001024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128382 (or 5128374 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 36001024020 its reverse (2042010063), we get a palindrome (38043034083).

The spelling of 36001024020 in words is "thirty-six billion, one million, twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 5128351 10256702 15385053 20513404 25641755 30770106 46155159 51283510 61540212 66668563 76925265 92310318 102567020 133337126 138465477 153850530 184620636 200005689 230775795 266674252 276930954 307701060 333342815 400011378 461551590 553861908 600017067 666685630 692327385 800022756 923103180 1000028445 1200034134 1333371260 1384654770 1800051201 2000056890 2400068268 2769309540 3000085335 3600102402 4000113780 6000170670 7200204804 9000256005 12000341340 18000512010 36001024020