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2241121029696 = 263269115833557
BaseRepresentation
bin100000100111001101001…
…110010000111001000000
321221020201120121021121100
4200213031032100321000
5243204303440422241
64433320133254400
7320626032304023
oct40471516207100
97836646537540
102241121029696
117944aa43924a
12302416a94400
1313344bc6a783
147a683d931ba
153d46b5759b6
hex209cd390e40

2241121029696 has 168 divisors, whose sum is σ = 6438938673024. Its totient is φ = 745278428160.

The previous prime is 2241121029683. The next prime is 2241121029737. The reversal of 2241121029696 is 6969201211422.

2241121029696 is a `hidden beast` number, since 22 + 41 + 1 + 210 + 296 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630057550 + ... + 630061106.

Almost surely, 22241121029696 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 2241121029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219469336512).

2241121029696 is an abundant number, since it is smaller than the sum of its proper divisors (4197817643328).

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

2241121029696 is a wasteful number, since it uses less digits than its factorization.

2241121029696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2241121029696 in words is "two trillion, two hundred forty-one billion, one hundred twenty-one million, twenty-nine thousand, six hundred ninety-six".