Search a number
-
+
12443735560 = 2357926914639
BaseRepresentation
bin10111001011011010…
…00101011000001000
31012010020002021002211
423211231011120020
5200441044014220
65414440234504
7620240002264
oct134555053010
935106067084
1012443735560
115306189783
1224b346ba34
13123407a049
148609290a4
154cc6c2b5a
hex2e5b45608

12443735560 has 64 divisors (see below), whose sum is σ = 28460160000. Its totient is φ = 4895884032.

The previous prime is 12443735527. The next prime is 12443735567. The reversal of 12443735560 is 6553734421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12443735567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842721 + ... + 857359.

It is an arithmetic number, because the mean of its divisors is an integer number (444690000).

Almost surely, 212443735560 is an apocalyptic number.

12443735560 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 12443735560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230080000).

12443735560 is an abundant number, since it is smaller than the sum of its proper divisors (16016424440).

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

12443735560 is a wasteful number, since it uses less digits than its factorization.

12443735560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14998 (or 14994 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 12443735560 in words is "twelve billion, four hundred forty-three million, seven hundred thirty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 79 158 269 316 395 538 632 790 1076 1345 1580 2152 2690 3160 5380 10760 14639 21251 29278 42502 58556 73195 85004 106255 117112 146390 170008 212510 292780 425020 585560 850040 1156481 2312962 3937891 4625924 5782405 7875782 9251848 11564810 15751564 19689455 23129620 31503128 39378910 46259240 78757820 157515640 311093389 622186778 1244373556 1555466945 2488747112 3110933890 6221867780 12443735560