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36803460420 = 223251131809413
BaseRepresentation
bin100010010001101010…
…000011110101000100
310111222220012111112200
4202101222003311010
51100333141213140
624523545514500
72442011152266
oct422152036504
9114886174480
1036803460420
11146766595a1
1271714a2a30
133616a55b1c
141ad1c43b36
15e5606e030
hex891a83d44

36803460420 has 72 divisors (see below), whose sum is σ = 112625165016. Its totient is φ = 9727398912.

The previous prime is 36803460401. The next prime is 36803460433. The reversal of 36803460420 is 2406430863.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 552062016 + 36251398404 = 23496^2 + 190398^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884367 + ... + 925046.

It is an arithmetic number, because the mean of its divisors is an integer number (1564238403).

Almost surely, 236803460420 is an apocalyptic number.

36803460420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36803460420 is an abundant number, since it is smaller than the sum of its proper divisors (75821704596).

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

36803460420 is a wasteful number, since it uses less digits than its factorization.

36803460420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809541 (or 1809536 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 36803460420 in words is "thirty-six billion, eight hundred three million, four hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 1809413 3618826 5428239 7237652 9047065 10856478 16284717 18094130 21712956 27141195 32569434 36188260 54282390 65138868 81423585 108564780 162847170 204463669 325694340 408927338 613391007 817854676 1022318345 1226782014 1840173021 2044636690 2453564028 3066955035 3680346042 4089273380 6133910070 7360692084 9200865105 12267820140 18401730210 36803460420