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3495806064 = 2432231278311
BaseRepresentation
bin1101000001011101…
…1100010001110000
3100000121222100101200
43100113130101300
524124411243224
61334515131200
7152425601262
oct32027342160
910017870350
103495806064
111534322923
128168a3b00
1343932b6ca
142523c9b32
15156d7e5c9
hexd05dc470

3495806064 has 120 divisors (see below), whose sum is σ = 10290388992. Its totient is φ = 1105695360.

The previous prime is 3495806063. The next prime is 3495806099. The reversal of 3495806064 is 4606085943.

3495806064 is a `hidden beast` number, since 3 + 4 + 9 + 580 + 6 + 0 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3495806063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416469 + ... + 424779.

Almost surely, 23495806064 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 3495806064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145194496).

3495806064 is an abundant number, since it is smaller than the sum of its proper divisors (6794582928).

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

3495806064 is a wasteful number, since it uses less digits than its factorization.

3495806064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475 (or 8466 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3495806064 is about 59125.3419778694. The cubic root of 3495806064 is about 1517.6878026071.

The spelling of 3495806064 in words is "three billion, four hundred ninety-five million, eight hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 127 138 144 184 207 254 276 368 381 414 508 552 762 828 1016 1104 1143 1524 1656 2032 2286 2921 3048 3312 4572 5842 6096 8311 8763 9144 11684 16622 17526 18288 23368 24933 26289 33244 35052 46736 49866 52578 66488 70104 74799 99732 105156 132976 140208 149598 191153 199464 210312 299196 382306 398928 420624 573459 598392 764612 1055497 1146918 1196784 1529224 1720377 2110994 2293836 3058448 3166491 3440754 4221988 4587672 6332982 6881508 8443976 9175344 9499473 12665964 13763016 16887952 18998946 24276431 25331928 27526032 37997892 48552862 50663856 72829293 75995784 97105724 145658586 151991568 194211448 218487879 291317172 388422896 436975758 582634344 873951516 1165268688 1747903032 3495806064