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200248953336 = 233223318346997
BaseRepresentation
bin1011101001111111000…
…1001000100111111000
3201010212200201211021100
42322133301020213320
511240102213001321
6231554302011400
720316233006325
oct2723761104770
9633780654240
10200248953336
1177a1a34a563
1232986b76b60
1315b63a86343
1499991a7b4c
15532024d326
hex2e9fc489f8

200248953336 has 192 divisors, whose sum is σ = 591227320320. Its totient is φ = 61042164480.

The previous prime is 200248953323. The next prime is 200248953391. The reversal of 200248953336 is 633359842002.

200248953336 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 4 + 89 + 533 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 200248953291 and 200248953300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4237390 + ... + 4284386.

It is an arithmetic number, because the mean of its divisors is an integer number (3079308960).

Almost surely, 2200248953336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200248953336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295613660160).

200248953336 is an abundant number, since it is smaller than the sum of its proper divisors (390978366984).

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

200248953336 is a wasteful number, since it uses less digits than its factorization.

200248953336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47146 (or 47139 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 200248953336 in words is "two hundred billion, two hundred forty-eight million, nine hundred fifty-three thousand, three hundred thirty-six".