Search a number
-
+
12047499620 = 2251323123709
BaseRepresentation
bin10110011100001011…
…00100000101100100
31011002121111101120122
423032011210011210
5144133124441440
65311243421112
7604356025412
oct131605440544
934077441518
1012047499620
115122554862
122402824798
13119cc55b00
148240642b2
154a7a047b5
hex2ce164164

12047499620 has 108 divisors (see below), whose sum is σ = 28315454580. Its totient is φ = 4303653120.

The previous prime is 12047499617. The next prime is 12047499623. The reversal of 12047499620 is 2699474021.

It is an interprime number because it is at equal distance from previous prime (12047499617) and next prime (12047499623).

It can be written as a sum of positive squares in 6 ways, for example, as 3661702144 + 8385797476 = 60512^2 + 91574^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12047499623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3246326 + ... + 3250034.

It is an arithmetic number, because the mean of its divisors is an integer number (262180135).

Almost surely, 212047499620 is an apocalyptic number.

12047499620 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 12047499620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14157727290).

12047499620 is an abundant number, since it is smaller than the sum of its proper divisors (16267954960).

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

12047499620 is a wasteful number, since it uses less digits than its factorization.

12047499620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 12047499620 in words is "twelve billion, forty-seven million, four hundred ninety-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 169 260 310 338 403 620 676 806 845 961 1612 1690 1922 2015 3380 3709 3844 4030 4805 5239 7418 8060 9610 10478 12493 14836 18545 19220 20956 24986 26195 37090 48217 49972 52390 62465 74180 96434 104780 114979 124930 162409 192868 229958 241085 249860 324818 459916 482170 574895 626821 649636 812045 964340 1149790 1253642 1494727 1624090 2299580 2507284 2989454 3134105 3248180 3564349 5978908 6268210 7128698 7473635 12536420 14257396 14947270 17821745 19431451 29894540 35643490 38862902 46336537 71286980 77725804 92673074 97157255 185346148 194314510 231682685 388629020 463365370 602374981 926730740 1204749962 2409499924 3011874905 6023749810 12047499620