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200214473026672 = 241343677311094127
BaseRepresentation
bin101101100001100000010000…
…100010110010110001110000
3222020220022112212110200020201
4231201200100202302301300
5202220303220043323142
61545453131550444544
760113006200052536
oct5541402042626160
9866808485420221
10200214473026672
1158881532496715
121a556aa5b03754
1387941b3bb9860
143762609d52156
151823087e32ab7
hexb618108b2c70

200214473026672 has 320 divisors, whose sum is σ = 440296979189760. Its totient is φ = 87592301862912.

The previous prime is 200214473026651. The next prime is 200214473026697. The reversal of 200214473026672 is 276620374412002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48513318273 + ... + 48513322399.

It is an arithmetic number, because the mean of its divisors is an integer number (1375928059968).

Almost surely, 2200214473026672 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 200214473026672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220148489594880).

200214473026672 is an abundant number, since it is smaller than the sum of its proper divisors (240082506163088).

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

200214473026672 is a wasteful number, since it uses less digits than its factorization.

200214473026672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

The spelling of 200214473026672 in words is "two hundred trillion, two hundred fourteen billion, four hundred seventy-three million, twenty-six thousand, six hundred seventy-two".