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4102055055 = 3557736607
BaseRepresentation
bin1111010010000000…
…0110010010001111
3101120212201222200000
43310200012102033
531400111230210
61515013135343
7203436615120
oct36440062217
911525658600
104102055055
11181555974a
1296592a553
13504b04717
142acb1c047
151901d3ac0
hexf480648f

4102055055 has 96 divisors (see below), whose sum is σ = 8543668224. Its totient is φ = 1849257216.

The previous prime is 4102055053. The next prime is 4102055059. The reversal of 4102055055 is 5505502014.

4102055055 is a `hidden beast` number, since 4 + 102 + 0 + 550 + 5 + 5 = 666.

It is not a de Polignac number, because 4102055055 - 21 = 4102055053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102055053) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617562 + ... + 624168.

It is an arithmetic number, because the mean of its divisors is an integer number (88996544).

Almost surely, 24102055055 is an apocalyptic number.

4102055055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4102055055 is an abundant number, since it is smaller than the sum of its proper divisors (4441613169).

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

4102055055 is an equidigital number, since it uses as much as digits as its factorization.

4102055055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 4102055055 is about 64047.2876474875. The cubic root of 4102055055 is about 1600.7880304361.

Adding to 4102055055 its reverse (5505502014), we get a palindrome (9607557069).

The spelling of 4102055055 in words is "four billion, one hundred two million, fifty-five thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 73 81 105 135 189 219 243 315 365 405 511 567 657 945 1095 1215 1533 1701 1971 2555 2835 3285 4599 5913 6607 7665 8505 9855 13797 17739 19821 22995 29565 33035 41391 46249 59463 68985 88695 99105 124173 138747 178389 206955 231245 297315 416241 482311 535167 620865 693735 891945 1248723 1446933 1605501 2081205 2411555 2675835 3376177 3746169 4340799 6243615 7234665 8027505 10128531 11238507 13022397 16880885 18730845 21703995 30385593 39067191 50642655 56192535 65111985 91156779 117201573 151927965 195335955 273470337 455783895 586007865 820411011 1367351685 4102055055