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24130136016 = 24327105122777
BaseRepresentation
bin10110011110010001…
…001010011111010000
32022021200002220202100
4112132101022133100
5343404303323031
615030224320400
71512652525530
oct263621123720
968250086670
1024130136016
11a262918378
124815173100
1323772619bc
14124ca334c0
15963649de6
hex59e44a7d0

24130136016 has 120 divisors (see below), whose sum is σ = 77254958144. Its totient is φ = 6887462400.

The previous prime is 24130135927. The next prime is 24130136071. The reversal of 24130136016 is 61063103142.

24130136016 is a `hidden beast` number, since 2 + 41 + 3 + 0 + 13 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048020 + ... + 1070796.

Almost surely, 224130136016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24130136016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38627479072).

24130136016 is an abundant number, since it is smaller than the sum of its proper divisors (53124822128).

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

24130136016 is a wasteful number, since it uses less digits than its factorization.

24130136016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23849 (or 23840 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 24130136016 its reverse (61063103142), we get a palindrome (85193239158).

The spelling of 24130136016 in words is "twenty-four billion, one hundred thirty million, one hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1051 2102 3153 4204 6306 7357 8408 9459 12612 14714 16816 18918 22071 22777 25224 29428 37836 44142 45554 50448 58856 66213 68331 75672 88284 91108 117712 132426 136662 151344 159439 176568 182216 204993 264852 273324 318878 353136 364432 409986 478317 529704 546648 637756 819972 956634 1059408 1093296 1275512 1434951 1639944 1913268 2551024 2869902 3279888 3826536 5739804 7653072 11479608 22959216 23938627 47877254 71815881 95754508 143631762 167570389 191509016 215447643 287263524 335140778 383018032 430895286 502711167 574527048 670281556 861790572 1005422334 1149054096 1340563112 1508133501 1723581144 2010844668 2681126224 3016267002 3447162288 4021689336 6032534004 8043378672 12065068008 24130136016