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3777066006 = 23789930143
BaseRepresentation
bin1110000100100001…
…0111010000010110
3100202020012211111120
43201020113100112
530213412103011
61422443344410
7162412350150
oct34110272026
910666184446
103777066006
11166906765a
12894b22106
134826976cc
1427b8c1ad0
151718daa06
hexe1217416

3777066006 has 16 divisors (see below), whose sum is σ = 8633293824. Its totient is φ = 1079161704.

The previous prime is 3777065989. The next prime is 3777066017. The reversal of 3777066006 is 6006607773.

It is a super-2 number, since 2×37770660062 = 28532455227361584072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 89930143 = 3777066006 / (3 + 7 + 7 + 7 + 0 + 6 + 6 + 0 + 0 + 6).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44965030 + ... + 44965113.

It is an arithmetic number, because the mean of its divisors is an integer number (539580864).

Almost surely, 23777066006 is an apocalyptic number.

3777066006 is an abundant number, since it is smaller than the sum of its proper divisors (4856227818).

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

3777066006 is a wasteful number, since it uses less digits than its factorization.

3777066006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89930155.

The product of its (nonzero) digits is 222264, while the sum is 42.

The square root of 3777066006 is about 61457.8392558671. The cubic root of 3777066006 is about 1557.3450906103.

The spelling of 3777066006 in words is "three billion, seven hundred seventy-seven million, sixty-six thousand, six".

Divisors: 1 2 3 6 7 14 21 42 89930143 179860286 269790429 539580858 629511001 1259022002 1888533003 3777066006