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57364125415806 = 2311139239177714723
BaseRepresentation
bin11010000101100001000000…
…10100010111100101111110
321112002221211112022220121110
431002300200110113211332
530004323212101301211
6322000414310142450
715040264334564016
oct1502604024274576
9245087745286543
1057364125415806
1117306a97354740
126525675651a26
13260154c1cab11
14102461d2b4c46
1569728c51aea6
hex342c2051797e

57364125415806 has 128 divisors (see below), whose sum is σ = 126665789644800. Its totient is φ = 17174963151360.

The previous prime is 57364125415789. The next prime is 57364125415879. The reversal of 57364125415806 is 60851452146375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3896217961 + ... + 3896232683.

It is an arithmetic number, because the mean of its divisors is an integer number (989576481600).

Almost surely, 257364125415806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57364125415806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63332894822400).

57364125415806 is an abundant number, since it is smaller than the sum of its proper divisors (69301664228994).

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

57364125415806 is a wasteful number, since it uses less digits than its factorization.

57364125415806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16894.

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 57364125415806 in words is "fifty-seven trillion, three hundred sixty-four billion, one hundred twenty-five million, four hundred fifteen thousand, eight hundred six".

Divisors: 1 2 3 6 11 22 33 66 139 239 278 417 478 717 834 1434 1529 1777 2629 3058 3554 4587 5258 5331 7887 9174 10662 14723 15774 19547 29446 33221 39094 44169 58641 66442 88338 99663 117282 161953 199326 247003 323906 365431 424703 485859 494006 730862 741009 849406 971718 1096293 1274109 1482018 2046497 2192586 2548218 2717033 3518797 4092994 4671733 5434066 6139491 7037594 8151099 9343466 10556391 12278982 14015199 16302198 21112782 22511467 26162771 28030398 38706767 45022934 52325542 59033717 67534401 77413534 78488313 116120301 118067434 135068802 156976626 177101151 232240602 287790481 354202302 489112783 575580962 649370887 863371443 978225566 1298741774 1467338349 1726742886 1948112661 2934676698 3636625169 3896225322 5380240613 6252902269 7273250338 10760481226 10909875507 12505804538 16140721839 18758706807 21819751014 32281443678 37517413614 40002876859 68781924959 80005753718 120008630577 137563849918 206345774877 240017261154 412691549754 869153415391 1738306830782 2607460246173 5214920492346 9560687569301 19121375138602 28682062707903 57364125415806