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86354614136 = 237210312831667
BaseRepresentation
bin101000001101100100…
…0101101011101111000
322020220012102220211002
41100123020231131320
52403323240123021
6103400515024132
76144643052300
oct1203310553570
9266805386732
1086354614136
1133693a237aa
121489bb9b048
1381b281101b
144272ad6600
1523a630250b
hex141b22d778

86354614136 has 96 divisors (see below), whose sum is σ = 190441031040. Its totient is φ = 36599274432.

The previous prime is 86354614133. The next prime is 86354614139. The reversal of 86354614136 is 63141645368.

It is an interprime number because it is at equal distance from previous prime (86354614133) and next prime (86354614139).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86354614133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51801575 + ... + 51803241.

It is an arithmetic number, because the mean of its divisors is an integer number (1983760740).

Almost surely, 286354614136 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 86354614136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95220515520).

86354614136 is an abundant number, since it is smaller than the sum of its proper divisors (104086416904).

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

86354614136 is a wasteful number, since it uses less digits than its factorization.

86354614136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3062 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 47.

The spelling of 86354614136 in words is "eighty-six billion, three hundred fifty-four million, six hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 392 412 721 824 1283 1442 1667 2566 2884 3334 5047 5132 5768 6668 8981 10094 10264 11669 13336 17962 20188 23338 35924 40376 46676 62867 71848 81683 93352 125734 132149 163366 171701 251468 264298 326732 343402 502936 528596 653464 686804 925043 1057192 1201907 1373608 1850086 2138761 2403814 3700172 4277522 4807628 6475301 7400344 8413349 8555044 9615256 12950602 14971327 16826698 17110088 25901204 29942654 33653396 51802408 59885308 67306792 104799289 119770616 209598578 220292383 419197156 440584766 838394312 881169532 1542046681 1762339064 3084093362 6168186724 10794326767 12336373448 21588653534 43177307068 86354614136