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57149206060008 = 23312719867943763
BaseRepresentation
bin11001111111010000101100…
…01000000101101111101000
321111100102002102122102110210
430333220112020011233220
524442313033222410013
6321313552142341120
715015615413315616
oct1477502610055750
9244312072572423
1057149206060008
1117233929a42727
1264aba9558a7a0
1325b71bac8a27a
1410180719a26b6
156918ae3b1cc3
hex33fa16205be8

57149206060008 has 64 divisors (see below), whose sum is σ = 144005400207360. Its totient is φ = 18898766099136.

The previous prime is 57149206060007. The next prime is 57149206060021. The reversal of 57149206060008 is 80006060294175.

57149206060008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×571492060600082 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57149206060007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60082735 + ... + 61026497.

It is an arithmetic number, because the mean of its divisors is an integer number (2250084378240).

Almost surely, 257149206060008 is an apocalyptic number.

It is an amenable number.

57149206060008 is an abundant number, since it is smaller than the sum of its proper divisors (86856194147352).

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

57149206060008 is a wasteful number, since it uses less digits than its factorization.

57149206060008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963766 (or 963762 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 57149206060008 in words is "fifty-seven trillion, one hundred forty-nine billion, two hundred six million, sixty thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 19867 39734 59601 79468 119202 158936 238404 476808 943763 1887526 2523109 2831289 3775052 5046218 5662578 7550104 7569327 10092436 11325156 15138654 20184872 22650312 30277308 60554616 119857901 239715802 359573703 479431604 719147406 958863208 1438294812 2876589624 18749739521 37499479042 56249218563 74998958084 112498437126 149997916168 224996874252 449993748504 2381216919167 4762433838334 7143650757501 9524867676668 14287301515002 19049735353336 28574603030004 57149206060008