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3728637821940 = 2235173359213663
BaseRepresentation
bin110110010000100100001…
…000100000001111110100
3111012110021011212202112220
4312100210020200033310
5442042222240300230
611532525040442340
7533246056360623
oct66204410401764
914173234782486
103728637821940
111208340932909
125027753193b0
132107bc0967c5
14cc67777b6ba
1566ecca51d10
hex364242203f4

3728637821940 has 48 divisors (see below), whose sum is σ = 10500533826048. Its totient is φ = 988555997824.

The previous prime is 3728637821939. The next prime is 3728637821957. The reversal of 3728637821940 is 491287368273.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179596452 + ... + 179617211.

It is an arithmetic number, because the mean of its divisors is an integer number (218761121376).

Almost surely, 23728637821940 is an apocalyptic number.

3728637821940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3728637821940 is an abundant number, since it is smaller than the sum of its proper divisors (6771896004108).

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

3728637821940 is a wasteful number, since it uses less digits than its factorization.

3728637821940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359213848 (or 359213846 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 3728637821940 in words is "three trillion, seven hundred twenty-eight billion, six hundred thirty-seven million, eight hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 1038 1730 2076 2595 3460 5190 10380 359213663 718427326 1077640989 1436854652 1796068315 2155281978 3592136630 4310563956 5388204945 7184273260 10776409890 21552819780 62143963699 124287927398 186431891097 248575854796 310719818495 372863782194 621439636990 745727564388 932159455485 1242879273980 1864318910970 3728637821940