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8464212380 = 22513615031061
BaseRepresentation
bin1111110001000000…
…11010000110011100
3210211212220112120102
413320200122012130
5114313314244010
63515521240232
7416515422011
oct77040320634
923755815512
108464212380
113653911048
121782793078
13a4b777ac0
145a41c5708
15348144ba5
hex1f881a19c

8464212380 has 96 divisors (see below), whose sum is σ = 19513001088. Its totient is φ = 3065011200.

The previous prime is 8464212377. The next prime is 8464212481. The reversal of 8464212380 is 832124648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7977050 + ... + 7978110.

It is an arithmetic number, because the mean of its divisors is an integer number (203260428).

Almost surely, 28464212380 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 8464212380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9756500544).

8464212380 is an abundant number, since it is smaller than the sum of its proper divisors (11048788708).

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

8464212380 is a wasteful number, since it uses less digits than its factorization.

8464212380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 8464212380 is about 92001.1542318899. The cubic root of 8464212380 is about 2037.9593508341.

The spelling of 8464212380 in words is "eight billion, four hundred sixty-four million, two hundred twelve thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 503 610 793 1006 1061 1220 1586 2012 2122 2515 3172 3965 4244 5030 5305 6539 7930 10060 10610 13078 13793 15860 21220 26156 27586 30683 32695 55172 61366 64721 65390 68965 122732 129442 130780 137930 153415 258884 275860 306830 323605 398879 533683 613660 647210 797758 841373 1067366 1294420 1595516 1682746 1994395 2134732 2668415 3365492 3988790 4206865 5336830 6937879 7977580 8413730 10673660 13875758 16827460 27751516 32554663 34689395 65109326 69378790 130218652 138757580 162773315 325546630 423210619 651093260 846421238 1692842476 2116053095 4232106190 8464212380