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838676220096 = 263111323175797
BaseRepresentation
bin11000011010001001111…
…11111000100011000000
32222011202210021021211210
430031010333320203000
5102220102103020341
61441141010010120
7114410115151131
oct14150477704300
92864683237753
10838676220096
112a3753953360
1211665ab76940
13611189b9200
142c840bc1c88
1516c3898cc16
hexc344ff88c0

838676220096 has 336 divisors, whose sum is σ = 2705850344448. Its totient is φ = 227024179200.

The previous prime is 838676220089. The next prime is 838676220131. The reversal of 838676220096 is 690022676838.

It is a happy 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, 11026870 + ... + 11102666.

Almost surely, 2838676220096 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 838676220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352925172224).

838676220096 is an abundant number, since it is smaller than the sum of its proper divisors (1867174124352).

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

838676220096 is a wasteful number, since it uses less digits than its factorization.

838676220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75880 (or 75857 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 838676220096 in words is "eight hundred thirty-eight billion, six hundred seventy-six million, two hundred twenty thousand, ninety-six".