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12468033480 = 2335760124697
BaseRepresentation
bin10111001110010011…
…10001011111001000
31012011220210201120210
423213021301133020
5201013304032410
65421105121120
7620653351560
oct134711613710
935156721523
1012468033480
115318975101
1224bb6291a0
131239106806
14863c51da0
154ce8c2220
hex2e72717c8

12468033480 has 128 divisors (see below), whose sum is σ = 42820404480. Its totient is φ = 2844979200.

The previous prime is 12468033443. The next prime is 12468033497. The reversal of 12468033480 is 8433086421.

It is a happy 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, 492492 + ... + 517188.

It is an arithmetic number, because the mean of its divisors is an integer number (334534410).

Almost surely, 212468033480 is an apocalyptic number.

12468033480 is a gapful number since it is divisible by the number (10) 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 12468033480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410202240).

12468033480 is an abundant number, since it is smaller than the sum of its proper divisors (30352371000).

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

12468033480 is a wasteful number, since it uses less digits than its factorization.

12468033480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25319 (or 25315 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 12468033480 in words is "twelve billion, four hundred sixty-eight million, thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 601 840 1202 1803 2404 3005 3606 4207 4808 6010 7212 8414 9015 12020 12621 14424 16828 18030 21035 24040 24697 25242 33656 36060 42070 49394 50484 63105 72120 74091 84140 98788 100968 123485 126210 148182 168280 172879 197576 246970 252420 296364 345758 370455 493940 504840 518637 592728 691516 740910 864395 987880 1037274 1383032 1481820 1728790 2074548 2593185 2963640 3457580 4149096 5186370 6915160 10372740 14842897 20745480 29685794 44528691 59371588 74214485 89057382 103900279 118743176 148428970 178114764 207800558 222643455 296857940 311700837 356229528 415601116 445286910 519501395 593715880 623401674 831202232 890573820 1039002790 1246803348 1558504185 1781147640 2078005580 2493606696 3117008370 4156011160 6234016740 12468033480