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3716453920228 = 2272175212140849
BaseRepresentation
bin110110000101001101111…
…010100110110111100100
3111011021211001201102110221
4312011031322212313210
5441342244200421403
611523152041254124
7532335123045400
oct66051572466744
914137731642427
103716453920228
111203159394155
12500334a94344
1320c5c9ac31ca
14cbc3d56c100
1566a180a6dbd
hex3614dea6de4

3716453920228 has 72 divisors (see below), whose sum is σ = 8026055213400. Its totient is φ = 1496195850240.

The previous prime is 3716453920183. The next prime is 3716453920229. The reversal of 3716453920228 is 8220293546173.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1164409330084 + 2552044590144 = 1079078^2 + 1597512^2 .

It is not an unprimeable number, because it can be changed into a prime (3716453920229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665548 + ... + 2806396.

It is an arithmetic number, because the mean of its divisors is an integer number (111472989075).

It is a 1-persistent number, because it is pandigital, but 2⋅3716453920228 = 7432907840456 is not.

Almost surely, 23716453920228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3716453920228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013027606700).

3716453920228 is an abundant number, since it is smaller than the sum of its proper divisors (4309601293172).

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

3716453920228 is a wasteful number, since it uses less digits than its factorization.

3716453920228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141405 (or 2141396 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 3716453920228 in words is "three trillion, seven hundred sixteen billion, four hundred fifty-three million, nine hundred twenty thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 521 833 1042 1666 2084 3332 3647 7294 8857 14588 17714 25529 35428 51058 61999 102116 123998 247996 433993 867986 1735972 2140849 4281698 8563396 14985943 29971886 36394433 59943772 72788866 104901601 145577732 209803202 254761031 419606404 509522062 1019044124 1115382329 1783327217 2230764658 3566654434 4461529316 7133308868 7807676303 15615352606 18961499593 31230705212 37922999186 54653734121 75845998372 109307468242 132730497151 218614936484 265460994302 530921988604 929113480057 1858226960114 3716453920228