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8007213468 = 2232347617269
BaseRepresentation
bin1110111010100010…
…00110000110011100
3202200000222120220210
413131101012012130
5112344321312333
63402314212420
7402266122452
oct73521060634
922600876823
108007213468
113439954aa1
121675724110
139a7b9a547
1455d6249d2
1531ce72a63
hex1dd44619c

8007213468 has 48 divisors (see below), whose sum is σ = 19910661120. Its totient is φ = 2498700864.

The previous prime is 8007213463. The next prime is 8007213493. The reversal of 8007213468 is 8643127008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007213463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295663 + ... + 321606.

It is an arithmetic number, because the mean of its divisors is an integer number (414805440).

Almost surely, 28007213468 is an apocalyptic number.

It is an amenable number.

8007213468 is an abundant number, since it is smaller than the sum of its proper divisors (11903447652).

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

8007213468 is a wasteful number, since it uses less digits than its factorization.

8007213468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617346 (or 617344 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8007213468 is about 89483.0345261044. The cubic root of 8007213468 is about 2000.6009417498.

The spelling of 8007213468 in words is "eight billion, seven million, two hundred thirteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 2162 3243 4324 6486 12972 617269 1234538 1851807 2469076 3703614 7407228 14197187 28394374 29011643 42591561 56788748 58023286 85183122 87034929 116046572 170366244 174069858 348139716 667267789 1334535578 2001803367 2669071156 4003606734 8007213468