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6491400030 = 2325412107401
BaseRepresentation
bin1100000101110101…
…01110011101011110
3121202101201021210100
412002322232131132
5101243244300110
62552045121530
7316601663343
oct60272563536
917671637710
106491400030
112831253a15
121311b592a6
137c5b2c60b
144581a67ca
1527ed52bc0
hex182eae75e

6491400030 has 144 divisors (see below), whose sum is σ = 17504549712. Its totient is φ = 1668864000.

The previous prime is 6491400023. The next prime is 6491400089. The reversal of 6491400030 is 300041946.

6491400030 is a `hidden beast` number, since 649 + 14 + 0 + 0 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6491399967 and 6491400003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16187830 + ... + 16188230.

It is an arithmetic number, because the mean of its divisors is an integer number (121559373).

Almost surely, 26491400030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6491400030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8752274856).

6491400030 is an abundant number, since it is smaller than the sum of its proper divisors (11013149682).

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

6491400030 is a wasteful number, since it uses less digits than its factorization.

6491400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6491400030 is about 80569.2250800515. The cubic root of 6491400030 is about 1865.4321514590.

Adding to 6491400030 its reverse (300041946), we get a palindrome (6791441976).

The spelling of 6491400030 in words is "six billion, four hundred ninety-one million, four hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 107 123 205 214 246 321 369 401 410 535 615 642 738 802 963 1070 1203 1230 1605 1681 1845 1926 2005 2406 3210 3362 3609 3690 4010 4387 4815 5043 6015 7218 8405 8774 9630 10086 12030 13161 15129 16441 16810 18045 21935 25215 26322 30258 32882 36090 39483 42907 43870 49323 50430 65805 75645 78966 82205 85814 98646 128721 131610 147969 151290 164410 179867 197415 214535 246615 257442 295938 359734 386163 394830 429070 493230 539601 643605 674081 739845 772326 899335 1079202 1287210 1348162 1479690 1618803 1759187 1798670 1930815 2022243 2698005 3237606 3370405 3518374 3861630 4044486 5277561 5396010 6066729 6740810 8094015 8795935 10111215 10555122 12133458 15832683 16188030 17591870 20222430 26387805 30333645 31665366 52775610 60667290 72126667 79163415 144253334 158326830 216380001 360633335 432760002 649140003 721266670 1081900005 1298280006 2163800010 3245700015 6491400030