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8240816664 = 233340993281
BaseRepresentation
bin1111010110011000…
…01110001000011000
3210021022112212021000
413223030032020120
5113334122113124
63441421145000
7411133533363
oct75314161030
923238485230
108240816664
1135497a9593
12171b9bb160
13a143bb8a2
145826730da
153337186c9
hex1eb30e218

8240816664 has 64 divisors (see below), whose sum is σ = 22947372000. Its totient is φ = 2740193280.

The previous prime is 8240816663. The next prime is 8240816669. The reversal of 8240816664 is 4666180428.

It is a super-2 number, since 2×82408166642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8240816663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41704 + ... + 134984.

Almost surely, 28240816664 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 8240816664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11473686000).

8240816664 is an abundant number, since it is smaller than the sum of its proper divisors (14706555336).

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

8240816664 is a wasteful number, since it uses less digits than its factorization.

8240816664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93705 (or 93695 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8240816664 is about 90778.9439462698. The cubic root of 8240816664 is about 2019.8699932668.

The spelling of 8240816664 in words is "eight billion, two hundred forty million, eight hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 409 818 1227 1636 2454 3272 3681 4908 7362 9816 11043 14724 22086 29448 44172 88344 93281 186562 279843 373124 559686 746248 839529 1119372 1679058 2238744 2518587 3358116 5037174 6716232 10074348 20148696 38151929 76303858 114455787 152607716 228911574 305215432 343367361 457823148 686734722 915646296 1030102083 1373469444 2060204166 2746938888 4120408332 8240816664