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56412859400 = 23524135319489
BaseRepresentation
bin110100100010011101…
…111110110000001000
312101121111202011220222
4310202131332300020
51411013143000100
641525443205212
74034651251562
oct644235766010
9171544664828
1056412859400
1121a19652257
12ab24676808
1354205302a1
142a322d0332
151702881485
hexd2277ec08

56412859400 has 96 divisors (see below), whose sum is σ = 134746453800. Its totient is φ = 21951283200.

The previous prime is 56412859387. The next prime is 56412859403. The reversal of 56412859400 is 495821465.

It can be written as a sum of positive squares in 12 ways, for example, as 8765827876 + 47647031524 = 93626^2 + 218282^2 .

It is not an unprimeable number, because it can be changed into a prime (56412859403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2884856 + ... + 2904344.

Almost surely, 256412859400 is an apocalyptic number.

56412859400 is a gapful number since it is divisible by the number (50) 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 56412859400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67373226900).

56412859400 is an abundant number, since it is smaller than the sum of its proper divisors (78333594400).

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

56412859400 is a wasteful number, since it uses less digits than its factorization.

56412859400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19899 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 56412859400 in words is "fifty-six billion, four hundred twelve million, eight hundred fifty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 353 410 706 820 1025 1412 1640 1765 2050 2824 3530 4100 7060 8200 8825 14120 14473 17650 19489 28946 35300 38978 57892 70600 72365 77956 97445 115784 144730 155912 194890 289460 361825 389780 487225 578920 723650 779560 799049 974450 1447300 1598098 1948900 2894600 3196196 3897800 3995245 6392392 6879617 7990490 13759234 15980980 19976225 27518468 31961960 34398085 39952450 55036936 68796170 79904900 137592340 159809800 171990425 275184680 282064297 343980850 564128594 687961700 1128257188 1375923400 1410321485 2256514376 2820642970 5641285940 7051607425 11282571880 14103214850 28206429700 56412859400