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3842116705 = 572177191283
BaseRepresentation
bin1110010100000010…
…0000110001100001
3100220202121202021201
43211000200301201
530332040213310
61433125521201
7164132311300
oct34500406141
910822552251
103842116705
1116a1858169
128b2873201
13492cc254b
142863b6437
15177489e3a
hexe5020c61

3842116705 has 48 divisors (see below), whose sum is σ = 5691098880. Its totient is φ = 2474239488.

The previous prime is 3842116699. The next prime is 3842116727. The reversal of 3842116705 is 5076112483.

It is not a de Polignac number, because 3842116705 - 29 = 3842116193 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2993994 + ... + 2995276.

It is an arithmetic number, because the mean of its divisors is an integer number (118564560).

Almost surely, 23842116705 is an apocalyptic number.

3842116705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3842116705 is a deficient number, since it is larger than the sum of its proper divisors (1848982175).

3842116705 is a wasteful number, since it uses less digits than its factorization.

3842116705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 3842116705 is about 61984.8102763895. The cubic root of 3842116705 is about 1566.2347334737.

The spelling of 3842116705 in words is "three billion, eight hundred forty-two million, one hundred sixteen thousand, seven hundred five".

Divisors: 1 5 7 17 35 49 85 119 245 595 719 833 1283 3595 4165 5033 6415 8981 12223 21811 25165 35231 44905 61115 62867 85561 109055 152677 176155 314335 427805 598927 763385 922477 1068739 2994635 4612385 5343695 6457339 15682109 32286695 45201373 78410545 109774763 226006865 548873815 768423341 3842116705