Search a number
-
+
21724309425 = 35271331102679
BaseRepresentation
bin10100001110110111…
…101010011110110001
32002002000010021002210
4110032313222132301
5323442410400200
613551403202333
71366230404040
oct241667523661
962060107083
1021724309425
119238896235
1242635163a9
1320829b5c80
1410a12d8557
15872322650
hex50edea7b1

21724309425 has 96 divisors (see below), whose sum is σ = 45632634880. Its totient is φ = 8871379200.

The previous prime is 21724309421. The next prime is 21724309489. The reversal of 21724309425 is 52490342712.

It is not a de Polignac number, because 21724309425 - 22 = 21724309421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (21724309421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160236 + ... + 262914.

Almost surely, 221724309425 is an apocalyptic number.

21724309425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21724309425 is an abundant number, since it is smaller than the sum of its proper divisors (23908325455).

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

21724309425 is a wasteful number, since it uses less digits than its factorization.

21724309425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102743 (or 102738 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 21724309425 in words is "twenty-one billion, seven hundred twenty-four million, three hundred nine thousand, four hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 31 35 39 65 75 91 93 105 155 175 195 217 273 325 403 455 465 525 651 775 975 1085 1209 1365 2015 2275 2325 2821 3255 5425 6045 6825 8463 10075 14105 16275 30225 42315 70525 102679 211575 308037 513395 718753 1334827 1540185 2156259 2566975 3183049 3593765 4004481 6674135 7700925 9343789 9549147 10781295 15915245 17968825 20022405 22281343 28031367 33370675 41379637 46718945 47745735 53906475 66844029 79576225 100112025 111406715 124138911 140156835 206898185 233594725 238728675 289657459 334220145 557033575 620694555 700784175 868972377 1034490925 1448287295 1671100725 3103472775 4344861885 7241436475 21724309425