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12636024030 = 2335718673581
BaseRepresentation
bin10111100010010101…
…00110110011011110
31012121121220112022000
423301022212303132
5201334310232110
65445505503130
7625063301130
oct136112466336
935547815260
1012636024030
1153a4784973
122547941aa6
131264b642c6
1487c2a1050
154de5071c0
hex2f12a6cde

12636024030 has 128 divisors (see below), whose sum is σ = 38541173760. Its totient is φ = 2885880960.

The previous prime is 12636024029. The next prime is 12636024047. The reversal of 12636024030 is 3042063621.

12636024030 is a `hidden beast` number, since 1 + 2 + 636 + 0 + 24 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12636023985 and 12636024003.

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 63 ways as a sum of consecutive naturals, for example, 3526840 + ... + 3530420.

It is an arithmetic number, because the mean of its divisors is an integer number (301102920).

Almost surely, 212636024030 is an apocalyptic number.

12636024030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12636024030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270586880).

12636024030 is an abundant number, since it is smaller than the sum of its proper divisors (25905149730).

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

12636024030 is a wasteful number, since it uses less digits than its factorization.

12636024030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12636024030 its reverse (3042063621), we get a palindrome (15678087651).

The spelling of 12636024030 in words is "twelve billion, six hundred thirty-six million, twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1867 1890 3581 3734 5601 7162 9335 10743 11202 13069 16803 17905 18670 21486 25067 26138 28005 32229 33606 35810 39207 50134 50409 53715 56010 64458 65345 75201 78414 84015 96687 100818 107430 117621 125335 130690 150402 161145 168030 193374 196035 225603 235242 250670 252045 322290 352863 376005 392070 451206 483435 504090 588105 676809 705726 752010 966870 1128015 1176210 1353618 1764315 2256030 3384045 3528630 6685727 6768090 13371454 20057181 33428635 40114362 46800089 60171543 66857270 93600178 100285905 120343086 140400267 180514629 200571810 234000445 280800534 300857715 361029258 421200801 468000890 601715430 702001335 842401602 902573145 1263602403 1404002670 1805146290 2106004005 2527204806 4212008010 6318012015 12636024030