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2203956951168 = 273719293147283
BaseRepresentation
bin100000000100100110000…
…100100011100010000000
321210200210112211111000110
4200010212010203202000
5242102200434414133
64404252302151320
7315142051661610
oct40044604434200
97720715744013
102203956951168
1177a769272a65
122b7184882540
1312caa85b176b
147895a2baa40
153c4e3a21c63
hex20126123880

2203956951168 has 256 divisors, whose sum is σ = 7066804147200. Its totient is φ = 594519699456.

The previous prime is 2203956951167. The next prime is 2203956951173. The reversal of 2203956951168 is 8611596593022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2203956951167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14890455 + ... + 15037737.

It is an arithmetic number, because the mean of its divisors is an integer number (27604703700).

Almost surely, 22203956951168 is an apocalyptic number.

2203956951168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2203956951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533402073600).

2203956951168 is an abundant number, since it is smaller than the sum of its proper divisors (4862847196032).

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

2203956951168 is a wasteful number, since it uses less digits than its factorization.

2203956951168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147619 (or 147607 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 2203956951168 in words is "two trillion, two hundred three billion, nine hundred fifty-six million, nine hundred fifty-one thousand, one hundred sixty-eight".