Search a number
-
+
86254636832 = 2571319282051
BaseRepresentation
bin101000001010100101…
…1010100111100100000
322020122020022112201222
41100111023110330200
52403122141334312
6103342544114212
76142320213260
oct1202513247440
9266566275658
1086254636832
1133642548331
1214872605968
138197ba7960
14426370d7a0
15239c654672
hex14152d4f20

86254636832 has 144 divisors (see below), whose sum is σ = 220583345472. Its totient is φ = 32326387200.

The previous prime is 86254636829. The next prime is 86254636849. The reversal of 86254636832 is 23863645268.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010207 + ... + 1092257.

It is an arithmetic number, because the mean of its divisors is an integer number (1531828788).

Almost surely, 286254636832 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 86254636832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110291672736).

86254636832 is an abundant number, since it is smaller than the sum of its proper divisors (134328708640).

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

86254636832 is a wasteful number, since it uses less digits than its factorization.

86254636832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82119 (or 82092 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 53.

The spelling of 86254636832 in words is "eighty-six billion, two hundred fifty-four million, six hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 361 364 416 494 532 608 722 728 988 1064 1444 1456 1729 1976 2128 2527 2888 2912 3458 3952 4256 4693 5054 5776 6916 7904 9386 10108 11552 13832 18772 20216 27664 32851 37544 40432 55328 65702 75088 80864 82051 131404 150176 164102 262808 328204 525616 574357 656408 1051232 1066663 1148714 1312816 1558969 2133326 2297428 2625632 3117938 4266652 4594856 6235876 7466641 8533304 9189712 10912783 12471752 14933282 17066608 18379424 20266597 21825566 24943504 29620411 29866564 34133216 40533194 43651132 49887008 59240822 59733128 81066388 87302264 118481644 119466256 141866179 162132776 174604528 207342877 236963288 238932512 283732358 324265552 349209056 385065343 414685754 473926576 567464716 648531104 770130686 829371508 947853152 1134929432 1540261372 1658743016 2269858864 2695457401 3080522744 3317486032 4539717728 5390914802 6161045488 6634972064 10781829604 12322090976 21563659208 43127318416 86254636832