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44896320200 = 23524122923909
BaseRepresentation
bin101001110100000001…
…110111101011001000
311021212220100101010002
4221310001313223020
51213421424221300
632343003542132
73146400265544
oct516401675310
9137786311102
1044896320200
1118049890966
12884b82a948
1343065ac754
14225c9a0a24
15127b7ad5d5
hexa74077ac8

44896320200 has 96 divisors (see below), whose sum is σ = 107401329000. Its totient is φ = 17443276800.

The previous prime is 44896320191. The next prime is 44896320251. The reversal of 44896320200 is 202369844.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 71808676 + 44824511524 = 8474^2 + 211718^2 .

It is an unprimeable number.

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, 1865846 + ... + 1889754.

Almost surely, 244896320200 is an apocalyptic number.

44896320200 is a gapful number since it is divisible by the number (40) 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 44896320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53700664500).

44896320200 is an abundant number, since it is smaller than the sum of its proper divisors (62505008800).

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

44896320200 is a wasteful number, since it uses less digits than its factorization.

44896320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24195 (or 24186 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 44896320200 in words is "forty-four billion, eight hundred ninety-six million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 229 328 410 458 820 916 1025 1145 1640 1832 2050 2290 4100 4580 5725 8200 9160 9389 11450 18778 22900 23909 37556 45800 46945 47818 75112 93890 95636 119545 187780 191272 234725 239090 375560 469450 478180 597725 938900 956360 980269 1195450 1877800 1960538 2390900 3921076 4781800 4901345 5475161 7842152 9802690 10950322 19605380 21900644 24506725 27375805 39210760 43801288 49013450 54751610 98026900 109503220 136879025 196053800 219006440 224481601 273758050 448963202 547516100 897926404 1095032200 1122408005 1795852808 2244816010 4489632020 5612040025 8979264040 11224080050 22448160100 44896320200