Search a number
-
+
3902020910820 = 22325109198879761
BaseRepresentation
bin111000110010000010100…
…100011111111011100100
3111211000210112202021011100
4320302002210133323210
51002412314323121240
612144321430040100
7551624500330644
oct70620244377344
914730715667140
103902020910820
1112749240957aa
125302a2aa9030
13223c60ba5216
14d6c0485c524
156b7793b3e30
hex38c8291fee4

3902020910820 has 72 divisors (see below), whose sum is σ = 11944718505720. Its totient is φ = 1030992675840.

The previous prime is 3902020910783. The next prime is 3902020910833. The reversal of 3902020910820 is 280190202093.

3902020910820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165872111076 + 3736148799744 = 407274^2 + 1932912^2 .

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, 99420261 + ... + 99459500.

It is an arithmetic number, because the mean of its divisors is an integer number (165898868135).

Almost surely, 23902020910820 is an apocalyptic number.

3902020910820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3902020910820 is an abundant number, since it is smaller than the sum of its proper divisors (8042697594900).

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

3902020910820 is a wasteful number, since it uses less digits than its factorization.

3902020910820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198879885 (or 198879880 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 3902020910820 in words is "three trillion, nine hundred two billion, twenty million, nine hundred ten thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 19620 198879761 397759522 596639283 795519044 994398805 1193278566 1789917849 1988797610 2386557132 2983196415 3579835698 3977595220 5966392830 7159671396 8949589245 11932785660 17899178490 21677893949 35798356980 43355787898 65033681847 86711575796 108389469745 130067363694 195101045541 216778939490 260134727388 325168409235 390202091082 433557878980 650336818470 780404182164 975505227705 1300673636940 1951010455410 3902020910820