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85758672312138 = 2372338231862417
BaseRepresentation
bin10011011111111100111111…
…001100110001011101001010
3102020122110010022202211011210
4103133330333030301131022
542220032230102442023
6502220553513433550
724030600563124600
oct2337747714613512
9366573108684153
1085758672312138
1125364059883861
129750731a0b8b6
1338b1014a3cb77
141726a55a47870
159daba7106593
hex4dff3f33174a

85758672312138 has 48 divisors (see below), whose sum is σ = 199520997643584. Its totient is φ = 24502376949120.

The previous prime is 85758672312119. The next prime is 85758672312169. The reversal of 85758672312138 is 83121327685758.

It is a happy number.

85758672312138 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99008706 + ... + 99871122.

It is an arithmetic number, because the mean of its divisors is an integer number (4156687450908).

Almost surely, 285758672312138 is an apocalyptic number.

85758672312138 is an abundant number, since it is smaller than the sum of its proper divisors (113762325331446).

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

85758672312138 is a wasteful number, since it uses less digits than its factorization.

85758672312138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200667 (or 1200660 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 66.

The spelling of 85758672312138 in words is "eighty-five trillion, seven hundred fifty-eight billion, six hundred seventy-two million, three hundred twelve thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 338231 676462 862417 1014693 1724834 2029386 2367617 2587251 4735234 5174502 6036919 7102851 12073838 14205702 16573319 18110757 33146638 36221514 42258433 49719957 84516866 99439914 126775299 253550598 291696164327 583392328654 875088492981 1750176985962 2041873150289 4083746300578 6125619450867 12251238901734 14293112052023 28586224104046 42879336156069 85758672312138