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4215320505 = 3251170912011
BaseRepresentation
bin1111101101000000…
…1010111110111001
3101212202212110122200
43323100022332321
532113110224010
61534140540413
7206313430104
oct37320127671
911782773580
104215320505
111873490760
12997851709
135224111b6
142bdba373b
1519a108cc0
hexfb40afb9

4215320505 has 48 divisors (see below), whose sum is σ = 7982694720. Its totient is φ = 2040739200.

The previous prime is 4215320479. The next prime is 4215320509. The reversal of 4215320505 is 5050235124.

It is a happy number.

4215320505 is a `hidden beast` number, since 4 + 2 + 153 + 2 + 0 + 505 = 666.

It is not a de Polignac number, because 4215320505 - 26 = 4215320441 is a prime.

It is a super-3 number, since 3×42153205053 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4215320509) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 344950 + ... + 356960.

It is an arithmetic number, because the mean of its divisors is an integer number (166306140).

Almost surely, 24215320505 is an apocalyptic number.

4215320505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4215320505 is a deficient number, since it is larger than the sum of its proper divisors (3767374215).

4215320505 is a wasteful number, since it uses less digits than its factorization.

4215320505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12742 (or 12739 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4215320505 is about 64925.4996515237. The cubic root of 4215320505 is about 1615.3880545008.

Adding to 4215320505 its reverse (5050235124), we get a palindrome (9265555629).

The spelling of 4215320505 in words is "four billion, two hundred fifteen million, three hundred twenty thousand, five hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 709 2127 3545 6381 7799 10635 12011 23397 31905 36033 38995 60055 70191 108099 116985 132121 180165 350955 396363 540495 660605 1189089 1981815 5945445 8515799 25547397 42578995 76642191 93673789 127736985 281021367 383210955 468368945 843064101 1405106835 4215320505