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2262967967142 = 2321931415398227
BaseRepresentation
bin100000111011100011011…
…001101101110110100110
322000100010010110200201200
4200323203121231312212
5244034024244422032
64451332041103330
7322331312226141
oct40734331556646
98010103420650
102262967967142
117a27a0470753
123066b3487b46
1313552118a8ac
147b75768d058
153dce951c47c
hex20ee366dda6

2262967967142 has 192 divisors, whose sum is σ = 5560616355840. Its totient is φ = 661964659200.

The previous prime is 2262967967119. The next prime is 2262967967177. The reversal of 2262967967142 is 2417697692622.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2262967967142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22989033 + ... + 23087259.

It is an arithmetic number, because the mean of its divisors is an integer number (28961543520).

Almost surely, 22262967967142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262967967142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780308177920).

2262967967142 is an abundant number, since it is smaller than the sum of its proper divisors (3297648388698).

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

2262967967142 is a wasteful number, since it uses less digits than its factorization.

2262967967142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98379 (or 98376 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 2262967967142 in words is "two trillion, two hundred sixty-two billion, nine hundred sixty-seven million, nine hundred sixty-seven thousand, one hundred forty-two".