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200017437312 = 27371121573917
BaseRepresentation
bin1011101001000111110…
…1111110001010000000
3201010021120002120222210
42322101331332022000
511234113430443222
6231515311502120
720310422110440
oct2722175761200
9633246076883
10200017437312
11779106a1100
1232921527940
1315b27b16004
149976540120
155309c6ad0c
hex2e91f7e280

200017437312 has 384 divisors, whose sum is σ = 671836072320. Its totient is φ = 51608494080.

The previous prime is 200017437293. The next prime is 200017437331. The reversal of 200017437312 is 213734710002.

200017437312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200017437293) and next prime (200017437331).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 200017437312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51061978 + ... + 51065894.

It is an arithmetic number, because the mean of its divisors is an integer number (1749573105).

Almost surely, 2200017437312 is an apocalyptic number.

200017437312 is a gapful number since it is divisible by the number (22) 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 200017437312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335918036160).

200017437312 is an abundant number, since it is smaller than the sum of its proper divisors (471818635008).

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

200017437312 is a wasteful number, since it uses less digits than its factorization.

200017437312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 200017437312 in words is "two hundred billion, seventeen million, four hundred thirty-seven thousand, three hundred twelve".