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4017557104 = 241122827029
BaseRepresentation
bin1110111101110111…
…0000111001110000
3101100222202001021021
43233131300321300
531211443311404
61502354105224
7201362446321
oct35735607160
911328661237
104017557104
111781896130
1294157b214
134c045ac32
142a1804448
15187a92454
hexef770e70

4017557104 has 20 divisors (see below), whose sum is σ = 8491655160. Its totient is φ = 1826162240.

The previous prime is 4017557083. The next prime is 4017557119.

4017557104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40175571042 = 32281530167801733632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4017557104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11413339 + ... + 11413690.

It is an arithmetic number, because the mean of its divisors is an integer number (424582758).

Almost surely, 24017557104 is an apocalyptic number.

4017557104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4017557104 is an abundant number, since it is smaller than the sum of its proper divisors (4474098056).

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

4017557104 is a wasteful number, since it uses less digits than its factorization.

4017557104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22827048 (or 22827042 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 4017557104 is about 63384.2023220297. The cubic root of 4017557104 is about 1589.7201759587.

It can be divided in two parts, 40175 and 57104, that added together give a palindrome (97279).

The spelling of 4017557104 in words is "four billion, seventeen million, five hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 22827029 45654058 91308116 182616232 251097319 365232464 502194638 1004389276 2008778552 4017557104