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2214352605696 = 293721119231239
BaseRepresentation
bin100000001110010001101…
…100110101001000000000
321211200122001002110010020
4200032101230311020000
5242234443231340241
64413132021133440
7315660502406400
oct40162154651000
97750561073106
102214352605696
11784113355090
122b91a625a280
13130a7424b62a
1479264bd2800
153c9014d5b66
hex20391b35200

2214352605696 has 1440 divisors, whose sum is σ = 8189887242240. Its totient is φ = 525101875200.

The previous prime is 2214352605649. The next prime is 2214352605709. The reversal of 2214352605696 is 6965062534122.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9265073545 + ... + 9265073783.

It is an arithmetic number, because the mean of its divisors is an integer number (5687421696).

Almost surely, 22214352605696 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 2214352605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094943621120).

2214352605696 is an abundant number, since it is smaller than the sum of its proper divisors (5975534636544).

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

2214352605696 is a wasteful number, since it uses less digits than its factorization.

2214352605696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 2214352605696 in words is "two trillion, two hundred fourteen billion, three hundred fifty-two million, six hundred five thousand, six hundred ninety-six".