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3968520045 = 357210315237
BaseRepresentation
bin1110110010001010…
…1100111101101101
3101020120110201001220
43230202230331231
531111420120140
61453443053553
7200225602200
oct35442547555
911216421056
103968520045
111757142936
129290712b9
134b324bc19
142990bb937
15183607bd0
hexec8acf6d

3968520045 has 48 divisors (see below), whose sum is σ = 7394882688. Its totient is φ = 1812074880.

The previous prime is 3968520043. The next prime is 3968520053. The reversal of 3968520045 is 5400258693.

It is not a de Polignac number, because 3968520045 - 21 = 3968520043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3968519979 and 3968520006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968520043) 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, 755167 + ... + 760403.

It is an arithmetic number, because the mean of its divisors is an integer number (154060056).

Almost surely, 23968520045 is an apocalyptic number.

3968520045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3968520045 is a deficient number, since it is larger than the sum of its proper divisors (3426362643).

3968520045 is a wasteful number, since it uses less digits than its factorization.

3968520045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3968520045 is about 62996.1907181696. The cubic root of 3968520045 is about 1583.2258035438.

The spelling of 3968520045 in words is "three billion, nine hundred sixty-eight million, five hundred twenty thousand, forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 1031 3093 5155 5237 7217 15465 15711 21651 26185 36085 36659 50519 78555 108255 109977 151557 183295 252595 256613 549885 757785 769839 1283065 3849195 5399347 16198041 26996735 37795429 80990205 113386287 188977145 264568003 566931435 793704009 1322840015 3968520045