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56058332200 = 235213131164587
BaseRepresentation
bin110100001101010101…
…100100010000101000
312100200210122100000221
4310031111210100220
51404301413112300
641430340335424
74023114650563
oct641525442050
9170623570027
1056058332200
1121857515772
12aa459a4574
135394c50590
1429db1a54da
1516d16a131a
hexd0d564428

56058332200 has 96 divisors (see below), whose sum is σ = 141433760160. Its totient is φ = 20540332800.

The previous prime is 56058332191. The next prime is 56058332227. The reversal of 56058332200 is 223385065.

It is a happy 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, 258307 + ... + 422893.

It is an arithmetic number, because the mean of its divisors is an integer number (1473268335).

Almost surely, 256058332200 is an apocalyptic number.

56058332200 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 56058332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70716880080).

56058332200 is an abundant number, since it is smaller than the sum of its proper divisors (85375427960).

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

56058332200 is a wasteful number, since it uses less digits than its factorization.

56058332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164747 (or 164738 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 56058332200 in words is "fifty-six billion, fifty-eight million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 131 200 260 262 325 520 524 650 655 1048 1300 1310 1703 2600 2620 3275 3406 5240 6550 6812 8515 13100 13624 17030 26200 34060 42575 68120 85150 164587 170300 329174 340600 658348 822935 1316696 1645870 2139631 3291740 4114675 4279262 6583480 8229350 8558524 10698155 16458700 17117048 21396310 21560897 32917400 42792620 43121794 53490775 85585240 86243588 106981550 107804485 172487176 213963100 215608970 280291661 427926200 431217940 539022425 560583322 862435880 1078044850 1121166644 1401458305 2156089700 2242333288 2802916610 4312179400 5605833220 7007291525 11211666440 14014583050 28029166100 56058332200