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8890020864 = 2103611909
BaseRepresentation
bin10000100011110001…
…01111010000000000
3211221120010212000000
420101320233100000
5121201321131424
64030052000000
7433205634114
oct102170572000
924846125000
108890020864
11385220428a
121881300000
13ab8a5459a
14604987744
153707053c9
hex211e2f400

8890020864 has 154 divisors (see below), whose sum is σ = 26647088610. Its totient is φ = 2963091456.

The previous prime is 8890020829. The next prime is 8890020869. The reversal of 8890020864 is 4680200988.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7023780864 + 1866240000 = 83808^2 + 43200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8890020869) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 740542 + ... + 752450.

Almost surely, 28890020864 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 8890020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323544305).

8890020864 is an abundant number, since it is smaller than the sum of its proper divisors (17757067746).

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

8890020864 is an equidigital number, since it uses as much as digits as its factorization.

8890020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11947 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8890020864 is about 94286.9071716747. The cubic root of 8890020864 is about 2071.5762663167.

The spelling of 8890020864 in words is "eight billion, eight hundred ninety million, twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2304 2592 2916 3072 3456 3888 4608 5184 5832 6912 7776 9216 10368 11664 11909 13824 15552 20736 23328 23818 27648 31104 35727 41472 46656 47636 62208 71454 82944 93312 95272 107181 124416 142908 186624 190544 214362 248832 285816 321543 373248 381088 428724 571632 643086 746496 762176 857448 964629 1143264 1286172 1524352 1714896 1929258 2286528 2572344 2893887 3048704 3429792 3858516 4573056 5144688 5787774 6097408 6859584 7717032 8681661 9146112 10289376 11575548 12194816 13719168 15434064 17363322 18292224 20578752 23151096 27438336 30868128 34726644 36584448 41157504 46302192 54876672 61736256 69453288 82315008 92604384 109753344 123472512 138906576 164630016 185208768 246945024 277813152 329260032 370417536 493890048 555626304 740835072 987780096 1111252608 1481670144 2222505216 2963340288 4445010432 8890020864