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12147889400 = 23521931103123
BaseRepresentation
bin10110101000001001…
…00001010011111000
31011100121101201110122
423110010201103320
5144334324430100
65325231232412
7610015233113
oct132404412370
934317351418
1012147889400
115174192119
122430378708
1311b79a4b4a
1483351757a
154b1734985
hex2d41214f8

12147889400 has 96 divisors (see below), whose sum is σ = 30689702400. Its totient is φ = 4454870400.

The previous prime is 12147889333. The next prime is 12147889409. The reversal of 12147889400 is 498874121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147889409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66239 + ... + 169361.

It is an arithmetic number, because the mean of its divisors is an integer number (319684400).

Almost surely, 212147889400 is an apocalyptic number.

12147889400 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 12147889400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344851200).

12147889400 is an abundant number, since it is smaller than the sum of its proper divisors (18541813000).

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

12147889400 is a wasteful number, since it uses less digits than its factorization.

12147889400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103189 (or 103180 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 12147889400 in words is "twelve billion, one hundred forty-seven million, eight hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 152 155 190 200 248 310 380 475 589 620 760 775 950 1178 1240 1550 1900 2356 2945 3100 3800 4712 5890 6200 11780 14725 23560 29450 58900 103123 117800 206246 412492 515615 824984 1031230 1959337 2062460 2578075 3196813 3918674 4124920 5156150 6393626 7837348 9796685 10312300 12787252 15674696 15984065 19593370 20624600 25574504 31968130 39186740 48983425 60739447 63936260 78373480 79920325 97966850 121478894 127872520 159840650 195933700 242957788 303697235 319681300 391867400 485915576 607394470 639362600 1214788940 1518486175 2429577880 3036972350 6073944700 12147889400