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4788216405 = 325723365239
BaseRepresentation
bin1000111010110011…
…00110001001010101
3110100200212121002100
410131121212021111
534301240411110
62111044032313
7226441111410
oct43531461125
913320777070
104788216405
112037906945
12b17692699
135b4009c5b
14335cd2b77
151d0570bc0
hex11d666255

4788216405 has 48 divisors (see below), whose sum is σ = 9526083840. Its totient is φ = 2179471104.

The previous prime is 4788216401. The next prime is 4788216427. The reversal of 4788216405 is 5046128874.

It is not a de Polignac number, because 4788216405 - 22 = 4788216401 is a prime.

It is a super-2 number, since 2×47882164052 = 45854032682222248050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4788216401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40776 + ... + 106014.

It is an arithmetic number, because the mean of its divisors is an integer number (198460080).

Almost surely, 24788216405 is an apocalyptic number.

4788216405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4788216405 is a deficient number, since it is larger than the sum of its proper divisors (4737867435).

4788216405 is a wasteful number, since it uses less digits than its factorization.

4788216405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65490 (or 65487 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4788216405 is about 69196.9392747974. The cubic root of 4788216405 is about 1685.4838288101.

The spelling of 4788216405 in words is "four billion, seven hundred eighty-eight million, two hundred sixteen thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 233 315 699 1165 1631 2097 3495 4893 8155 10485 14679 24465 65239 73395 195717 326195 456673 587151 978585 1370019 2283365 2935755 4110057 6850095 15200687 20550285 45602061 76003435 106404809 136806183 228010305 319214427 532024045 684030915 957643281 1596072135 4788216405