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24149863480 = 2355949920507
BaseRepresentation
bin10110011111011100…
…011010110000111000
32022100001020011202011
4112133130122300320
5343424331112410
615032211215304
71513312311151
oct263734326070
968301204664
1024149863480
11a272a71966
12481b8a7534
13237b37b062
1412514ca928
1596524518a
hex59f71ac38

24149863480 has 64 divisors (see below), whose sum is σ = 55371600000. Its totient is φ = 9476724864.

The previous prime is 24149863427. The next prime is 24149863511. The reversal of 24149863480 is 8436894142.

It is a super-2 number, since 2×241498634802 (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167387 + ... + 1187893.

It is an arithmetic number, because the mean of its divisors is an integer number (865181250).

Almost surely, 224149863480 is an apocalyptic number.

24149863480 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 24149863480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27685800000).

24149863480 is an abundant number, since it is smaller than the sum of its proper divisors (31221736520).

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

24149863480 is a wasteful number, since it uses less digits than its factorization.

24149863480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21076 (or 21072 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 24149863480 in words is "twenty-four billion, one hundred forty-nine million, eight hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 499 590 998 1180 1996 2360 2495 3992 4990 9980 19960 20507 29441 41014 58882 82028 102535 117764 147205 164056 205070 235528 294410 410140 588820 820280 1177640 1209913 2419826 4839652 6049565 9679304 10232993 12099130 20465986 24198260 40931972 48396520 51164965 81863944 102329930 204659860 409319720 603746587 1207493174 2414986348 3018732935 4829972696 6037465870 12074931740 24149863480