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4882076627274 = 237711291912617
BaseRepresentation
bin100011100001011001001…
…1100010111000101001010
3122021201111022111010000000
41013002302130113011022
51114441443104033044
614214443421223430
71012501260426510
oct107026234270512
918251438433000
104882076627274
111612527a87230
1266a219701b76
132954bb1a3442
1412c4181644b0
1586ed9c17d69
hex470b271714a

4882076627274 has 512 divisors, whose sum is σ = 14244868915200. Its totient is φ = 1217469657600.

The previous prime is 4882076627257. The next prime is 4882076627279. The reversal of 4882076627274 is 4727266702884.

It is a happy number.

4882076627274 is a `hidden beast` number, since 4 + 88 + 207 + 66 + 27 + 274 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4882076627279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1865522814 + ... + 1865525430.

It is an arithmetic number, because the mean of its divisors is an integer number (27822009600).

Almost surely, 24882076627274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4882076627274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122434457600).

4882076627274 is an abundant number, since it is smaller than the sum of its proper divisors (9362792287926).

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

4882076627274 is a wasteful number, since it uses less digits than its factorization.

4882076627274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 4882076627274 in words is "four trillion, eight hundred eighty-two billion, seventy-six million, six hundred twenty-seven thousand, two hundred seventy-four".