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6509964412 = 227319198161
BaseRepresentation
bin1100001000000011…
…00010110001111100
3121210200122110100001
412010001202301330
5101313022330122
62553551044044
7320215533040
oct60401426174
917720573301
106509964412
112840783686
121318210624
137c992c463
1445a83a020
152817bd527
hex184062c7c

6509964412 has 48 divisors (see below), whose sum is σ = 13456199680. Its totient is φ = 2696716800.

The previous prime is 6509964323. The next prime is 6509964421. The reversal of 6509964412 is 2144699056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793612 + ... + 801772.

Almost surely, 26509964412 is an apocalyptic number.

6509964412 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6509964412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728099840).

6509964412 is an abundant number, since it is smaller than the sum of its proper divisors (6946235268).

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

6509964412 is a wasteful number, since it uses less digits than its factorization.

6509964412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 6509964412 is about 80684.3504776484. The cubic root of 6509964412 is about 1867.2087396918.

It can be divided in two parts, 6509 and 964412, that added together give a triangular number (970921 = T1393).

The spelling of 6509964412 in words is "six billion, five hundred nine million, nine hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 919 1838 3676 6433 8161 12866 16322 25732 28489 32644 56978 57127 113956 114254 199423 228508 252991 398846 505982 797692 1011964 1770937 3541874 7083748 7499959 14999918 29999836 52499713 104999426 209998852 232498729 464997458 929994916 1627491103 3254982206 6509964412