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6107735104 = 2697692
BaseRepresentation
bin1011011000000110…
…01010010001000000
3120202122210002110021
411230003022101000
5100002040010404
62450021543224
7304232614612
oct55403122100
916678702407
106107735104
112654725869
121225574b14
137644ba253
1441d254db2
1525b319454
hex16c0ca440

6107735104 has 21 divisors (see below), whose sum is σ = 12121277637. Its totient is φ = 3053554944.

The previous prime is 6107735099. The next prime is 6107735107. The reversal of 6107735104 is 4015377016.

The square root of 6107735104 is 78152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2093245504 + 4014489600 = 45752^2 + 63360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6107735104.

It is not an unprimeable number, because it can be changed into a prime (6107735107) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 620332 + ... + 630100.

It is an arithmetic number, because the mean of its divisors is an integer number (577203697).

Almost surely, 26107735104 is an apocalyptic number.

6107735104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6107735104 is the 78152-nd square number.

It is an amenable number.

6107735104 is a deficient number, since it is larger than the sum of its proper divisors (6013542533).

6107735104 is an frugal number, since it uses more digits than its factorization.

6107735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19550 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The cubic root of 6107735104 is about 1827.9321206881.

The spelling of 6107735104 in words is "six billion, one hundred seven million, seven hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 9769 19538 39076 78152 156304 312608 625216 95433361 190866722 381733444 763466888 1526933776 3053867552 6107735104