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3960935064 = 2332233796311
BaseRepresentation
bin1110110000010111…
…0001001010011000
3101020001012100102200
43230011301022120
531102444410224
61453012330200
7200104251432
oct35405611230
911201170380
103960935064
111752932159
12926613960
134b17c4678
142980a5652
15182b0a5c9
hexec171298

3960935064 has 96 divisors (see below), whose sum is σ = 11225260800. Its totient is φ = 1259375040.

The previous prime is 3960935057. The next prime is 3960935081. The reversal of 3960935064 is 4605390693.

It is a happy number.

3960935064 is a `hidden beast` number, since 3 + 9 + 609 + 35 + 0 + 6 + 4 = 666.

3960935064 is a modest number, since divided by 935064 gives 3960 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624469 + ... + 630779.

It is an arithmetic number, because the mean of its divisors is an integer number (116929800).

Almost surely, 23960935064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960935064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612630400).

3960935064 is an abundant number, since it is smaller than the sum of its proper divisors (7264325736).

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

3960935064 is a wasteful number, since it uses less digits than its factorization.

3960935064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3960935064 is about 62935.9600228677. The cubic root of 3960935064 is about 1582.2164939145.

The spelling of 3960935064 in words is "three billion, nine hundred sixty million, nine hundred thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 379 414 552 758 828 1137 1516 1656 2274 3032 3411 4548 6311 6822 8717 9096 12622 13644 17434 18933 25244 26151 27288 34868 37866 50488 52302 56799 69736 75732 78453 104604 113598 145153 151464 156906 209208 227196 290306 313812 435459 454392 580612 627624 870918 1161224 1306377 1741836 2391869 2612754 3483672 4783738 5225508 7175607 9567476 10451016 14351214 19134952 21526821 28702428 43053642 55012987 57404856 86107284 110025974 165038961 172214568 220051948 330077922 440103896 495116883 660155844 990233766 1320311688 1980467532 3960935064