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24734630420 = 22517531372621
BaseRepresentation
bin10111000010010011…
…001000001000010100
32100211210120102011222
4113002103020020110
5401124031133140
615210220545512
71533642614063
oct270223101024
970753512158
1024734630420
11a543065a25
1249636b2298
1324425721b6
1412a902a1da
1599b7545b5
hex5c24c8214

24734630420 has 48 divisors (see below), whose sum is σ = 56035920528. Its totient is φ = 9136158720.

The previous prime is 24734630413. The next prime is 24734630509. The reversal of 24734630420 is 2403643742.

It can be written as a sum of positive squares in 8 ways, for example, as 6359743504 + 18374886916 = 79748^2 + 135554^2 .

It is a super-2 number, since 2×247346304202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668291 + ... + 704330.

It is an arithmetic number, because the mean of its divisors is an integer number (1167415011).

Almost surely, 224734630420 is an apocalyptic number.

24734630420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24734630420 is an abundant number, since it is smaller than the sum of its proper divisors (31301290108).

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

24734630420 is a wasteful number, since it uses less digits than its factorization.

24734630420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372700 (or 1372698 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

The spelling of 24734630420 in words is "twenty-four billion, seven hundred thirty-four million, six hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 1372621 2745242 5490484 6863105 13726210 23334557 27452420 46669114 72748913 93338228 116672785 145497826 233345570 290995652 363744565 466691140 727489130 1236731521 1454978260 2473463042 4946926084 6183657605 12367315210 24734630420