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86235713256 = 233711160129147
BaseRepresentation
bin101000001010000001…
…1001000111011101000
322020120220201010110210
41100110003020323220
52403102320311011
6103341030341120
76142000316430
oct1202403107350
9266526633423
1086235713256
11336328a2810
12148681ba7a0
138193cb0484
144260dc52c0
15239ab676a6
hex14140c8ee8

86235713256 has 128 divisors (see below), whose sum is σ = 268963752960. Its totient is φ = 22384128000.

The previous prime is 86235713227. The next prime is 86235713273. The reversal of 86235713256 is 65231753268.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2944075 + ... + 2973221.

It is an arithmetic number, because the mean of its divisors is an integer number (2101279320).

Almost surely, 286235713256 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 86235713256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134481876480).

86235713256 is an abundant number, since it is smaller than the sum of its proper divisors (182728039704).

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

86235713256 is a wasteful number, since it uses less digits than its factorization.

86235713256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30775 (or 30771 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The spelling of 86235713256 in words is "eighty-six billion, two hundred thirty-five million, seven hundred thirteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1601 1848 3202 4803 6404 9606 11207 12808 17611 19212 22414 29147 33621 35222 38424 44828 52833 58294 67242 70444 87441 89656 105666 116588 123277 134484 140888 174882 204029 211332 233176 246554 268968 320617 349764 369831 408058 422664 493108 612087 641234 699528 739662 816116 961851 986216 1224174 1282468 1479324 1632232 1923702 2244319 2448348 2564936 2958648 3847404 4488638 4896696 6732957 7694808 8977276 13465914 17954552 26931828 46664347 53863656 93328694 139993041 186657388 279986082 326650429 373314776 513307817 559972164 653300858 979951287 1026615634 1119944328 1306601716 1539923451 1959902574 2053231268 2613203432 3079846902 3593154719 3919805148 4106462536 6159693804 7186309438 7839610296 10779464157 12319387608 14372618876 21558928314 28745237752 43117856628 86235713256