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57220004443680 = 253351323414325127
BaseRepresentation
bin11010000001010100100100…
…00010011111011000100000
321111121011211111021221212000
431000222102002133120200
524444443032114144210
6321410301313404000
715024003023540511
oct1500522202373040
9244534744257760
1057220004443680
111726095a871211
126501753869600
1325c0a9193cba0
14101b66a642a08
15693654b2aac0
hex340a9209f620

57220004443680 has 1536 divisors, whose sum is σ = 235912503214080. Its totient is φ = 12837753815040.

The previous prime is 57220004443663. The next prime is 57220004443687. The reversal of 57220004443680 is 8634440002275.

It is a happy number.

57220004443680 is a `hidden beast` number, since 5 + 7 + 2 + 200 + 0 + 4 + 4 + 436 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57220004443687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2277219277 + ... + 2277244403.

It is an arithmetic number, because the mean of its divisors is an integer number (153588869280).

Almost surely, 257220004443680 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 57220004443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117956251607040).

57220004443680 is an abundant number, since it is smaller than the sum of its proper divisors (178692498770400).

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

57220004443680 is a wasteful number, since it uses less digits than its factorization.

57220004443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25271 (or 25257 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 57220004443680 in words is "fifty-seven trillion, two hundred twenty billion, four million, four hundred forty-three thousand, six hundred eighty".