Search a number
-
+
24712843220 = 225131718233067
BaseRepresentation
bin10111000001000000…
…000000111111010100
32100210021120111202122
4113001000000333110
5401102441440340
615204121555112
71533256462412
oct270100007724
970707514678
1024712843220
11a53183497a
124958345a98
13243abb4470
1412a61982b2
1599989ddb5
hex5c1000fd4

24712843220 has 96 divisors (see below), whose sum is σ = 59228402688. Its totient is φ = 8580483072.

The previous prime is 24712843219. The next prime is 24712843231. The reversal of 24712843220 is 2234821742.

It is a super-2 number, since 2×247128432202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8056127 + ... + 8059193.

It is an arithmetic number, because the mean of its divisors is an integer number (616962528).

Almost surely, 224712843220 is an apocalyptic number.

24712843220 is a gapful number since it is divisible by the number (20) 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 24712843220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29614201344).

24712843220 is an abundant number, since it is smaller than the sum of its proper divisors (34515559468).

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

24712843220 is a wasteful number, since it uses less digits than its factorization.

24712843220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 24712843220 in words is "twenty-four billion, seven hundred twelve million, eight hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 1823 2210 3067 3646 4420 6134 7292 9115 12268 15335 18230 23699 30670 30991 36460 39871 47398 52139 61340 61982 79742 94796 104278 118495 123964 154955 159484 199355 208556 236990 260695 309910 398710 402883 473980 521390 619820 677807 797420 805766 1042780 1355614 1611532 2014415 2711228 3389035 4028830 5591141 6778070 8057660 11182282 13556140 22364564 27955705 55911410 72684833 95049397 111822820 145369666 190098794 290739332 363424165 380197588 475246985 726848330 950493970 1235642161 1453696660 1900987940 2471284322 4942568644 6178210805 12356421610 24712843220