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86168099024 = 2472322575659
BaseRepresentation
bin101000001000000000…
…1001101100011010000
322020102012110222011222
41100100001031203100
52402433013132044
6103330213224212
76140216520410
oct1202001154320
9266365428158
1086168099024
11335a8711187
1214849632068
138182c98857
144256024640
152394c5d8ee
hex141004d8d0

86168099024 has 120 divisors (see below), whose sum is σ = 200268640320. Its totient is φ = 35179905024.

The previous prime is 86168099021. The next prime is 86168099057. The reversal of 86168099024 is 42099086168.

It is a happy number.

It is a hoax number, since the sum of its digits (53) 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 (86168099021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15223907 + ... + 15229565.

It is an arithmetic number, because the mean of its divisors is an integer number (1668905336).

Almost surely, 286168099024 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 86168099024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100134320160).

86168099024 is an abundant number, since it is smaller than the sum of its proper divisors (114100541296).

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

86168099024 is a wasteful number, since it uses less digits than its factorization.

86168099024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 86168099024 in words is "eighty-six billion, one hundred sixty-eight million, ninety-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 257 322 368 514 529 644 1028 1058 1288 1799 2056 2116 2576 3598 3703 4112 4232 5659 5911 7196 7406 8464 11318 11822 14392 14812 22636 23644 28784 29624 39613 41377 45272 47288 59248 79226 82754 90544 94576 130157 135953 158452 165508 260314 271906 316904 331016 520628 543812 633808 662032 911099 951671 1041256 1087624 1454363 1822198 1903342 2082512 2175248 2908726 2993611 3644396 3806684 5817452 5987222 7288792 7613368 10180541 11634904 11974444 14577584 15226736 20361082 20955277 23269808 23948888 33450349 40722164 41910554 47897776 66900698 81444328 83821108 133801396 162888656 167642216 234152443 267602792 335284432 468304886 535205584 769358027 936609772 1538716054 1873219544 3077432108 3746439088 5385506189 6154864216 10771012378 12309728432 21542024756 43084049512 86168099024