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57709997280 = 25325134371693
BaseRepresentation
bin110101101111110010…
…001010110011100000
312111221220112121120200
4311233302022303200
51421142224403110
642302301305200
74112051611635
oct655762126340
9174856477520
1057709997280
1122524875131
12b226b65200
1355991a55b0
142b166a818c
15177b6a86c0
hexd6fc8ace0

57709997280 has 288 divisors, whose sum is σ = 217019458656. Its totient is φ = 13874982912.

The previous prime is 57709997251. The next prime is 57709997321. The reversal of 57709997280 is 8279990775.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 769114 + ... + 840806.

It is an arithmetic number, because the mean of its divisors is an integer number (753539787).

Almost surely, 257709997280 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 57709997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108509729328).

57709997280 is an abundant number, since it is smaller than the sum of its proper divisors (159309461376).

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

57709997280 is a wasteful number, since it uses less digits than its factorization.

57709997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71770 (or 71759 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 57709997280 in words is "fifty-seven billion, seven hundred nine million, nine hundred ninety-seven thousand, two hundred eighty".