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85363373758776 = 23361711814537259
BaseRepresentation
bin10011011010001100110101…
…100100011101100100111000
3102012020122210021210200112020
4103122030311210131210320
542142043142140240101
6501315220441514440
723660204656635231
oct2332146544354470
9365218707720466
1085363373758776
1125221449082953
1296a7bb11a2a20
13388296844ac19
14171187602c088
159d076d33e136
hex4da33591d938

85363373758776 has 128 divisors (see below), whose sum is σ = 221177268748800. Its totient is φ = 27441336384000.

The previous prime is 85363373758757. The next prime is 85363373758777. The reversal of 85363373758776 is 67785737336358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85363373758777) 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 31 ways as a sum of consecutive naturals, for example, 16545235 + ... + 21082493.

It is an arithmetic number, because the mean of its divisors is an integer number (1727947412100).

Almost surely, 285363373758776 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 85363373758776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110588634374400).

85363373758776 is an abundant number, since it is smaller than the sum of its proper divisors (135813894990024).

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

85363373758776 is a wasteful number, since it uses less digits than its factorization.

85363373758776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537581 (or 4537577 counting only the distinct ones).

The product of its digits is 11202105600, while the sum is 78.

The spelling of 85363373758776 in words is "eighty-five trillion, three hundred sixty-three billion, three hundred seventy-three million, seven hundred fifty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 61 71 122 142 181 183 213 244 284 362 366 426 488 543 568 724 732 852 1086 1448 1464 1704 2172 4331 4344 8662 11041 12851 12993 17324 22082 25702 25986 33123 34648 38553 44164 51404 51972 66246 77106 88328 102808 103944 132492 154212 264984 308424 783911 1567822 2351733 3135644 4537259 4703466 6271288 9074518 9406932 13611777 18149036 18813864 27223554 36298072 54447108 108894216 276772799 322145389 553545598 644290778 821243879 830318397 966436167 1107091196 1288581556 1642487758 1660636794 1932872334 2214182392 2463731637 2577163112 3284975516 3321273588 3865744668 4927463274 6569951032 6642547176 7731489336 9854926548 19650868729 19709853096 39301737458 50095876619 58308315409 58952606187 78603474916 100191753238 116616630818 117905212374 150287629857 157206949832 174924946227 200383506476 233233261636 235810424748 300575259714 349849892454 400767012952 466466523272 471620849496 601150519428 699699784908 1202301038856 1399399569816 3556807239949 7113614479898 10670421719847 14227228959796 21340843439694 28454457919592 42681686879388 85363373758776