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6398468730 = 2325615212237
BaseRepresentation
bin1011111010110000…
…01110001001111010
3121111220211220000100
411331120032021322
5101101001444410
62534525220230
7314363041533
oct57530161172
917456756010
106398468730
112793850295
1212a6a01676
137ac7c2394
14449ad568a
15276ae78c0
hex17d60e27a

6398468730 has 96 divisors (see below), whose sum is σ = 16948767888. Its totient is φ = 1674316800.

The previous prime is 6398468729. The next prime is 6398468731. The reversal of 6398468730 is 378648936.

6398468730 is a `hidden beast` number, since 63 + 98 + 468 + 7 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (6398468729) and next prime (6398468731).

It can be written as a sum of positive squares in 8 ways, for example, as 1262309841 + 5136158889 = 35529^2 + 71667^2 .

It is a super-3 number, since 3×63984687303 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6398468731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2859172 + ... + 2861408.

Almost surely, 26398468730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6398468730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474383944).

6398468730 is an abundant number, since it is smaller than the sum of its proper divisors (10550299158).

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

6398468730 is a wasteful number, since it uses less digits than its factorization.

6398468730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6398468730 is about 79990.4289899735. The cubic root of 6398468730 is about 1856.4874481814.

The spelling of 6398468730 in words is "six billion, three hundred ninety-eight million, four hundred sixty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 521 549 610 915 1042 1098 1563 1830 2237 2605 2745 3126 4474 4689 5210 5490 6711 7815 9378 11185 13422 15630 20133 22370 23445 31781 33555 40266 46890 63562 67110 95343 100665 136457 158905 190686 201330 272914 286029 317810 409371 476715 572058 682285 818742 953430 1165477 1228113 1364570 1430145 2046855 2330954 2456226 2860290 3496431 4093710 5827385 6140565 6992862 10489293 11654770 12281130 17482155 20978586 34964310 52446465 71094097 104892930 142188194 213282291 355470485 426564582 639846873 710940970 1066411455 1279693746 2132822910 3199234365 6398468730