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4055665504 = 2511101114077
BaseRepresentation
bin1111000110111100…
…1000101101100000
3101110122110011011111
43301233020231200
531301222244004
61510234553104
7202334405452
oct36157105540
911418404144
104055665504
1117a1354580
12952298794
134c8311797
142a68c42d2
1518b0bda04
hexf1bc8b60

4055665504 has 48 divisors (see below), whose sum is σ = 8796782736. Its totient is φ = 1825216000.

The previous prime is 4055665483. The next prime is 4055665513.

4055665504 is nontrivially palindromic in base 10.

4055665504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21487 + ... + 92590.

It is an arithmetic number, because the mean of its divisors is an integer number (183266307).

Almost surely, 24055665504 is an apocalyptic number.

4055665504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4055665504 is an abundant number, since it is smaller than the sum of its proper divisors (4741117232).

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

4055665504 is a wasteful number, since it uses less digits than its factorization.

4055665504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114199 (or 114191 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The square root of 4055665504 is about 63684.1071539831. The cubic root of 4055665504 is about 1594.7307786155.

The spelling of 4055665504 in words is "four billion, fifty-five million, six hundred sixty-five thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 2222 3232 4444 8888 17776 35552 114077 228154 456308 912616 1254847 1825232 2509694 3650464 5019388 10038776 11521777 20077552 23043554 40155104 46087108 92174216 126739547 184348432 253479094 368696864 506958188 1013916376 2027832752 4055665504