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57329118496 = 25131711517043
BaseRepresentation
bin110101011001000101…
…001110110100100000
312110222100211222010001
4311121011032310200
51414402223242441
642200413545344
74066445316106
oct653105166440
9173870758101
1057329118496
112234987a281
12b13b4a5254
1355382ca430
142abbc7dc76
151758020731
hexd5914ed20

57329118496 has 96 divisors (see below), whose sum is σ = 128828786688. Its totient is φ = 24877977600.

The previous prime is 57329118491. The next prime is 57329118557. The reversal of 57329118496 is 69481192375.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57329118491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8136351 + ... + 8143393.

It is an arithmetic number, because the mean of its divisors is an integer number (1341966528).

Almost surely, 257329118496 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 57329118496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64414393344).

57329118496 is an abundant number, since it is smaller than the sum of its proper divisors (71499668192).

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

57329118496 is a wasteful number, since it uses less digits than its factorization.

57329118496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8234 (or 8226 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The spelling of 57329118496 in words is "fifty-seven billion, three hundred twenty-nine million, one hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1151 1768 2302 3536 4604 7043 7072 9208 14086 14963 18416 19567 28172 29926 36832 39134 56344 59852 78268 91559 112688 119704 119731 156536 183118 225376 239408 239462 254371 313072 366236 478816 478924 508742 626144 732472 957848 1017484 1464944 1556503 1915696 2034968 2929888 3113006 3831392 4069936 6226012 8106493 8139872 12452024 16212986 24904048 32425972 49808096 64851944 105384409 129703888 137810381 210768818 259407776 275620762 421537636 551241524 843075272 1102483048 1686150544 1791534953 2204966096 3372301088 3583069906 4409932192 7166139812 14332279624 28664559248 57329118496