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57300587968 = 261374392693
BaseRepresentation
bin110101010111011000…
…011001010111000000
312110220101011110120211
4311113120121113000
51414322422303333
642153514243504
74065650650531
oct652730312700
9173811143524
1057300587968
1122334762928
12b131a26594
13553241b270
142ab8174688
151755786ecd
hexd576195c0

57300587968 has 56 divisors (see below), whose sum is σ = 122618589408. Its totient is φ = 26410546176.

The previous prime is 57300587963. The next prime is 57300587977. The reversal of 57300587968 is 86978500375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57300587963) 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 7 ways as a sum of consecutive naturals, for example, 571830 + ... + 664522.

It is an arithmetic number, because the mean of its divisors is an integer number (2189617668).

Almost surely, 257300587968 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 57300587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61309294704).

57300587968 is an abundant number, since it is smaller than the sum of its proper divisors (65318001440).

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

57300587968 is a wasteful number, since it uses less digits than its factorization.

57300587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93461 (or 93451 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 57300587968 in words is "fifty-seven billion, three hundred million, five hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 743 832 1486 2972 5944 9659 11888 19318 23776 38636 47552 77272 92693 154544 185386 309088 370772 618176 741544 1205009 1483088 2410018 2966176 4820036 5932352 9640072 19280144 38560288 68870899 77120576 137741798 275483596 550967192 895321687 1101934384 1790643374 2203868768 3581286748 4407737536 7162573496 14325146992 28650293984 57300587968