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86628269682 = 23237142791151
BaseRepresentation
bin101000010101101110…
…0100111111001110010
322021121021101001122200
41100223130213321302
52404403314112212
6103444012244030
76154505100003
oct1205334477162
9267537331580
1086628269682
1133814444209
1214957770616
138227416996
14429b1ad1aa
1523c035a6dc
hex142b727e72

86628269682 has 48 divisors (see below), whose sum is σ = 192904612992. Its totient is φ = 28075658400.

The previous prime is 86628269681. The next prime is 86628269713. The reversal of 86628269682 is 28696282668.

It is a super-2 number, since 2×866282696822 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86628269681) 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, 904807 + ... + 995957.

It is an arithmetic number, because the mean of its divisors is an integer number (4018846104).

Almost surely, 286628269682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86628269682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96452306496).

86628269682 is an abundant number, since it is smaller than the sum of its proper divisors (106276343310).

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

86628269682 is a wasteful number, since it uses less digits than its factorization.

86628269682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92623 (or 92620 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 86628269682 in words is "eighty-six billion, six hundred twenty-eight million, two hundred sixty-nine thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1427 2854 4281 8562 12843 25686 52799 91151 105598 158397 182302 273453 316794 475191 546906 820359 950382 1640718 3372587 6745174 10117761 20235522 30353283 60706566 130072477 260144954 390217431 780434862 1170652293 2341304586 4812681649 9625363298 14438044947 28876089894 43314134841 86628269682