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57304269414 = 23272223291349
BaseRepresentation
bin110101010111100110…
…011100001001100110
312110220122002111120200
4311113212130021212
51414324343110124
642154125211330
74066024152600
oct652746341146
9173818074520
1057304269414
1122336847847
12b133100b46
135533109b32
142ab8852170
151755c62bc9
hexd5799c266

57304269414 has 72 divisors (see below), whose sum is σ = 145078315200. Its totient is φ = 16299172512.

The previous prime is 57304269397. The next prime is 57304269437. The reversal of 57304269414 is 41496240375.

57304269414 is a `hidden beast` number, since 573 + 0 + 4 + 2 + 69 + 4 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57304269414.

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 35 ways as a sum of consecutive naturals, for example, 51012 + ... + 342360.

It is an arithmetic number, because the mean of its divisors is an integer number (2014976600).

Almost surely, 257304269414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57304269414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72539157600).

57304269414 is an abundant number, since it is smaller than the sum of its proper divisors (87774045786).

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

57304269414 is a wasteful number, since it uses less digits than its factorization.

57304269414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291594 (or 291584 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 57304269414 in words is "fifty-seven billion, three hundred four million, two hundred sixty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 223 294 441 446 669 882 1338 1561 2007 3122 4014 4683 9366 10927 14049 21854 28098 32781 65562 98343 196686 291349 582698 874047 1748094 2039443 2622141 4078886 5244282 6118329 12236658 14276101 18354987 28552202 36709974 42828303 64970827 85656606 128484909 129941654 194912481 256969818 389824962 454795789 584737443 909591578 1169474886 1364387367 2728774734 3183570523 4093162101 6367141046 8186324202 9550711569 19101423138 28652134707 57304269414