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57490707456 = 2103273131399
BaseRepresentation
bin110101100010101101…
…101001010000000000
312111101121220112111100
4311202231221100000
51420220110114311
642224425214400
74103446644000
oct654255512000
9174347815440
1057490707456
1122422007476
12b185631400
1355629261c0
142ad5504000
1517672dda56
hexd62b69400

57490707456 has 528 divisors, whose sum is σ = 208630240000. Its totient is φ = 15151546368.

The previous prime is 57490707451. The next prime is 57490707503. The reversal of 57490707456 is 65470709475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57490707451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41093445 + ... + 41094843.

Almost surely, 257490707456 is an apocalyptic number.

57490707456 is a gapful number since it is divisible by the number (56) 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 57490707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104315120000).

57490707456 is an abundant number, since it is smaller than the sum of its proper divisors (151139532544).

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

57490707456 is a wasteful number, since it uses less digits than its factorization.

57490707456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 57490707456 in words is "fifty-seven billion, four hundred ninety million, seven hundred seven thousand, four hundred fifty-six".