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85807638856656 = 24325306911228521
BaseRepresentation
bin10011100000101010100101…
…110101010100001111010000
3102020211010111212222000101200
4103200222211311110033100
542221333021021403111
6502255252440431200
724034253165646603
oct2340524565241720
9366733455860350
1085807638856656
11253828a7152472
12975a118778500
1338b581965a972
14172917cddc33a
159dc0c0dac256
hex4e0aa5d543d0

85807638856656 has 60 divisors (see below), whose sum is σ = 240146758003620. Its totient is φ = 28602004769280.

The previous prime is 85807638856613. The next prime is 85807638856733. The reversal of 85807638856656 is 65665883670858.

It can be written as a sum of positive squares in 2 ways, for example, as 51653198984256 + 34154439872400 = 7187016^2 + 5844180^2 .

It is a super-2 number, since 2×858076388566562 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2027676 + ... + 13256196.

It is an arithmetic number, because the mean of its divisors is an integer number (4002445966727).

Almost surely, 285807638856656 is an apocalyptic number.

It is an amenable number.

85807638856656 is an abundant number, since it is smaller than the sum of its proper divisors (154339119146964).

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

85807638856656 is a wasteful number, since it uses less digits than its factorization.

85807638856656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281604 (or 11281595 counting only the distinct ones).

The product of its (nonzero) digits is 13934592000, while the sum is 81.

The spelling of 85807638856656 in words is "eighty-five trillion, eight hundred seven billion, six hundred thirty-eight million, eight hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 53069 106138 159207 212276 318414 424552 477621 636828 849104 955242 1273656 1910484 2547312 3820968 7641936 11228521 22457042 33685563 44914084 67371126 89828168 101056689 134742252 179656336 202113378 269484504 404226756 538969008 808453512 1616907024 595886380949 1191772761898 1787659142847 2383545523796 3575318285694 4767091047592 5362977428541 7150636571388 9534182095184 10725954857082 14301273142776 21451909714164 28602546285552 42903819428328 85807638856656