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36803806020 = 22325375526097
BaseRepresentation
bin100010010001101011…
…011000001101000100
310111222220212001121200
4202101223120031010
51100333233243040
624524001142500
72442014122002
oct422153301504
9114886761550
1036803806020
1114676875213
12717162aa30
133616b47217
141ad1cd3a72
15e560db630
hex891ad8344

36803806020 has 72 divisors (see below), whose sum is σ = 114655481304. Its totient is φ = 9549093888.

The previous prime is 36803806009. The next prime is 36803806021. The reversal of 36803806020 is 2060830863.

It can be written as a sum of positive squares in 4 ways, for example, as 11492268804 + 25311537216 = 107202^2 + 159096^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36803806021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2756389 + ... + 2769708.

Almost surely, 236803806020 is an apocalyptic number.

36803806020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36803806020 is an abundant number, since it is smaller than the sum of its proper divisors (77851675284).

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

36803806020 is a wasteful number, since it uses less digits than its factorization.

36803806020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526149 (or 5526144 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 3680380 and 6020, that added together give a square (3686400 = 19202).

The spelling of 36803806020 in words is "thirty-six billion, eight hundred three million, eight hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 5526097 11052194 16578291 22104388 27630485 33156582 49734873 55260970 66313164 82891455 99469746 110521940 165782910 198939492 204465589 248674365 331565820 408931178 497348730 613396767 817862356 994697460 1022327945 1226793534 1840190301 2044655890 2453587068 3066983835 3680380602 4089311780 6133967670 7360761204 9200951505 12267935340 18401903010 36803806020