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12377064450 = 23521094671621
BaseRepresentation
bin10111000011011101…
…10000010000000010
31011221120122000112110
423201232300100002
5200322012030300
65404055240150
7615500212002
oct134156602002
934846560473
1012377064450
115281591793
122495079056
13122330579a
14855b32002
154c6903550
hex2e1bb0402

12377064450 has 96 divisors (see below), whose sum is σ = 31062208320. Its totient is φ = 3261254400.

The previous prime is 12377064449. The next prime is 12377064467. The reversal of 12377064450 is 5446077321.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12377064399 and 12377064408.

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 47 ways as a sum of consecutive naturals, for example, 7634640 + ... + 7636260.

It is an arithmetic number, because the mean of its divisors is an integer number (323564670).

Almost surely, 212377064450 is an apocalyptic number.

12377064450 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 12377064450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15531104160).

12377064450 is an abundant number, since it is smaller than the sum of its proper divisors (18685143870).

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

12377064450 is a wasteful number, since it uses less digits than its factorization.

12377064450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 12377064450 in words is "twelve billion, three hundred seventy-seven million, sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 109 150 218 327 467 545 654 934 1090 1401 1621 1635 2335 2725 2802 3242 3270 4670 4863 5450 7005 8105 8175 9726 11675 14010 16210 16350 23350 24315 35025 40525 48630 50903 70050 81050 101806 121575 152709 176689 243150 254515 305418 353378 509030 530067 757007 763545 883445 1060134 1272575 1514014 1527090 1766890 2271021 2545150 2650335 3785035 3817725 4417225 4542042 5300670 7570070 7635450 8834450 11355105 13251675 18925175 22710210 26503350 37850350 56775525 82513763 113551050 165027526 247541289 412568815 495082578 825137630 1237706445 2062844075 2475412890 4125688150 6188532225 12377064450