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12671139800 = 23521114813889
BaseRepresentation
bin10111100110100001…
…00011111111011000
31012201001222121002002
423303100203333120
5201422302433200
65453202300132
7626000624354
oct136320437730
935631877062
1012671139800
115412589970
122557657648
13126c20a977
14882c02464
154e2641bd5
hex2f3423fd8

12671139800 has 96 divisors (see below), whose sum is σ = 32168588400. Its totient is φ = 4603392000.

The previous prime is 12671139787. The next prime is 12671139809. The reversal of 12671139800 is 893117621.

It is a super-2 number, since 2×126711398002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671139809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3256256 + ... + 3260144.

Almost surely, 212671139800 is an apocalyptic number.

12671139800 is a gapful number since it is divisible by the number (10) 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 12671139800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084294200).

12671139800 is an abundant number, since it is smaller than the sum of its proper divisors (19497448600).

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

12671139800 is a wasteful number, since it uses less digits than its factorization.

12671139800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 12671139800 in words is "twelve billion, six hundred seventy-one million, one hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1481 2200 2962 3889 5924 7405 7778 11848 14810 15556 16291 19445 29620 31112 32582 37025 38890 42779 59240 65164 74050 77780 81455 85558 97225 130328 148100 155560 162910 171116 194450 213895 296200 325820 342232 388900 407275 427790 651640 777800 814550 855580 1069475 1629100 1711160 2138950 3258200 4277900 5759609 8555800 11519218 23038436 28798045 46076872 57596090 63355699 115192180 126711398 143990225 230384360 253422796 287980450 316778495 506845592 575960900 633556990 1151921800 1267113980 1583892475 2534227960 3167784950 6335569900 12671139800