Search a number
-
+
12849418240 = 21254314591
BaseRepresentation
bin10111111011110001…
…01001000000000000
31020011111110002010021
423331320221000000
5202303422340430
65523011343224
7633264152521
oct137570510000
936144402107
1012849418240
1154a418611a
1225a72b1b14
13129a12b079
1489c76c848
1550310a07a
hex2fde29000

12849418240 has 104 divisors (see below), whose sum is σ = 31554091008. Its totient is φ = 5019893760.

The previous prime is 12849418229. The next prime is 12849418243. The reversal of 12849418240 is 4281494821.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (12849418243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873345 + ... + 887935.

Almost surely, 212849418240 is an apocalyptic number.

12849418240 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 12849418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15777045504).

12849418240 is an abundant number, since it is smaller than the sum of its proper divisors (18704672768).

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

12849418240 is an equidigital number, since it uses as much as digits as its factorization.

12849418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14663 (or 14641 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 12849418240 in words is "twelve billion, eight hundred forty-nine million, four hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 1024 1280 1376 1720 2048 2560 2752 3440 4096 5120 5504 6880 10240 11008 13760 14591 20480 22016 27520 29182 44032 55040 58364 72955 88064 110080 116728 145910 176128 220160 233456 291820 440320 466912 583640 627413 880640 933824 1167280 1254826 1867648 2334560 2509652 3137065 3735296 4669120 5019304 6274130 7470592 9338240 10038608 12548260 14941184 18676480 20077216 25096520 29882368 37352960 40154432 50193040 59764736 74705920 80308864 100386080 149411840 160617728 200772160 298823680 321235456 401544320 642470912 803088640 1284941824 1606177280 2569883648 3212354560 6424709120 12849418240