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6145014060 = 22325314723431
BaseRepresentation
bin1011011100100010…
…10111100100101100
3120212020221001120100
411232101113210230
5100041110422220
62453432551100
7305164520613
oct55621274454
916766831510
106145014060
112673778019
121235b52490
1376c1403c3
1442419a87a
1525e72ed90
hex16e45792c

6145014060 has 144 divisors (see below), whose sum is σ = 19651387392. Its totient is φ = 1552003200.

The previous prime is 6145014059. The next prime is 6145014061. The reversal of 6145014060 is 604105416.

6145014060 is a `hidden beast` number, since 61 + 4 + 501 + 40 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6145014059) and next prime (6145014061).

It is a super-2 number, since 2×61450140602 = 75522395595195367200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6145014061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250545 + ... + 273975.

It is an arithmetic number, because the mean of its divisors is an integer number (136467968).

Almost surely, 26145014060 is an apocalyptic number.

6145014060 is a gapful number since it is divisible by the number (60) 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 6145014060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825693696).

6145014060 is an abundant number, since it is smaller than the sum of its proper divisors (13506373332).

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

6145014060 is a wasteful number, since it uses less digits than its factorization.

6145014060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23524 (or 23519 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6145014060 is about 78390.1400687612. The cubic root of 6145014060 is about 1831.6435472058.

Adding to 6145014060 its reverse (604105416), we get a palindrome (6749119476).

The spelling of 6145014060 in words is "six billion, one hundred forty-five million, fourteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 124 141 155 180 186 188 235 279 282 310 372 423 465 470 558 564 620 705 846 930 940 1116 1395 1410 1457 1692 1860 2115 2790 2820 2914 4230 4371 5580 5828 7285 8460 8742 13113 14570 17484 21855 23431 26226 29140 43710 46862 52452 65565 70293 87420 93724 117155 131130 140586 210879 234310 262260 281172 351465 421758 468620 702930 726361 843516 1054395 1101257 1405860 1452722 2108790 2179083 2202514 2905444 3303771 3631805 4217580 4358166 4405028 5506285 6537249 6607542 7263610 8716332 9911313 10895415 11012570 13074498 13215084 14527220 16518855 19822626 21790830 22025140 26148996 32686245 33037710 34138967 39645252 43581660 49556565 65372490 66075420 68277934 99113130 102416901 130744980 136555868 170694835 198226260 204833802 307250703 341389670 409667604 512084505 614501406 682779340 1024169010 1229002812 1536253515 2048338020 3072507030 6145014060