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85862022408 = 233812792
BaseRepresentation
bin100111111110111000…
…1100111110100001000
322012121212112200000000
41033331301213310020
52401321134204113
6103240001043000
76126512101641
oct1177561476410
9265555480000
1085862022408
11334609672a8
1214783026460
138134750c26
14422750c6c8
152377e4e373
hex13fdc67d08

85862022408 has 108 divisors (see below), whose sum is σ = 241663616415. Its totient is φ = 28598296752.

The previous prime is 85862022403. The next prime is 85862022419. The reversal of 85862022408 is 80422026858.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

85862022408 is a `hidden beast` number, since 8 + 586 + 2 + 0 + 22 + 40 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42931011204 + 42931011204 = 207198^2 + 207198^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=207198.

It is not an unprimeable number, because it can be changed into a prime (85862022403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67131513 + ... + 67132791.

Almost surely, 285862022408 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 85862022408

85862022408 is an abundant number, since it is smaller than the sum of its proper divisors (155801594007).

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

85862022408 is an frugal number, since it uses more digits than its factorization.

85862022408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 85862022408 in words is "eighty-five billion, eight hundred sixty-two million, twenty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1279 1458 1944 2187 2558 2916 3837 4374 5116 5832 6561 7674 8748 10232 11511 13122 15348 17496 23022 26244 30696 34533 46044 52488 69066 92088 103599 138132 207198 276264 310797 414396 621594 828792 932391 1243188 1635841 1864782 2486376 2797173 3271682 3729564 4907523 5594346 6543364 7459128 8391519 9815046 11188692 13086728 14722569 16783038 19630092 22377384 29445138 33566076 39260184 44167707 58890276 67132152 88335414 117780552 132503121 176670828 265006242 353341656 397509363 530012484 795018726 1060024968 1192528089 1590037452 2385056178 3180074904 3577584267 4770112356 7155168534 9540224712 10732752801 14310337068 21465505602 28620674136 42931011204 85862022408