Search a number
-
+
24472142268 = 22372712773881
BaseRepresentation
bin10110110010101001…
…110100000110111100
32100011111122122010120
4112302221310012330
5400104332023033
615124202534540
71524304530360
oct266251640674
970144578116
1024472142268
11a418982772
1248ab807450
132400079572
14128221d2a0
159836a51b3
hex5b2a741bc

24472142268 has 96 divisors (see below), whose sum is σ = 65753253888. Its totient is φ = 6939302400.

The previous prime is 24472142251. The next prime is 24472142269. The reversal of 24472142268 is 86224127442.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24472142269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6303688 + ... + 6307568.

It is an arithmetic number, because the mean of its divisors is an integer number (684929728).

Almost surely, 224472142268 is an apocalyptic number.

24472142268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

24472142268 is an abundant number, since it is smaller than the sum of its proper divisors (41281111620).

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

24472142268 is a wasteful number, since it uses less digits than its factorization.

24472142268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4441 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The spelling of 24472142268 in words is "twenty-four billion, four hundred seventy-two million, one hundred forty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 271 277 542 554 813 831 1084 1108 1626 1662 1897 1939 3252 3324 3794 3878 3881 5691 5817 7588 7756 7762 11382 11634 11643 15524 22764 23268 23286 27167 46572 54334 75067 81501 108668 150134 163002 225201 300268 326004 450402 525469 900804 1050938 1051751 1075037 1576407 2101876 2103502 2150074 3152814 3155253 3225111 4207004 4300148 6305628 6310506 6450222 7362257 7525259 12621012 12900444 14724514 15050518 22086771 22575777 29449028 30101036 44173542 45151554 88347084 90303108 291335027 582670054 874005081 1165340108 1748010162 2039345189 3496020324 4078690378 6118035567 8157380756 12236071134 24472142268