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12724374100 = 22521954112379
BaseRepresentation
bin10111101100110111…
…01000101001010100
31012211210011011210211
423312123220221110
5202024414432400
65502343255204
7630215252404
oct136633505124
935753134724
1012724374100
11543a639659
12257144a504
13127a259259
14889cdc804
154e7159dba
hex2f66e8a54

12724374100 has 72 divisors (see below), whose sum is σ = 29121226400. Its totient is φ = 4812566400.

The previous prime is 12724374097. The next prime is 12724374121. The reversal of 12724374100 is 147342721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021711 + ... + 1034089.

Almost surely, 212724374100 is an apocalyptic number.

12724374100 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 12724374100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560613200).

12724374100 is an abundant number, since it is smaller than the sum of its proper divisors (16396852300).

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

12724374100 is a wasteful number, since it uses less digits than its factorization.

12724374100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12953 (or 12946 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 12724374100 in words is "twelve billion, seven hundred twenty-four million, three hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 541 950 1082 1900 2164 2705 5410 10279 10820 12379 13525 20558 24758 27050 41116 49516 51395 54100 61895 102790 123790 205580 235201 247580 256975 309475 470402 513950 618950 940804 1027900 1176005 1237900 2352010 4704020 5880025 6697039 11760050 13394078 23520100 26788156 33485195 66970390 127243741 133940780 167425975 254487482 334851950 508974964 636218705 669703900 1272437410 2544874820 3181093525 6362187050 12724374100