Search a number
-
+
88004408080 = 2453449318949
BaseRepresentation
bin101000111110101111…
…0001011001100010000
322102011011211010122111
41101331132023030100
52420213112024310
6104232331515104
76233555061211
oct1217536131420
9272134733574
1088004408080
1134360215376
12150805b8a94
1383b655c464
14438bc6d408
15245108a28a
hex147d78b310

88004408080 has 40 divisors (see below), whose sum is σ = 204670215000. Its totient is φ = 35191446528.

The previous prime is 88004407987. The next prime is 88004408111. The reversal of 88004408080 is 8080440088.

It can be written as a sum of positive squares in 4 ways, for example, as 236790544 + 87767617536 = 15388^2 + 296256^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×880044080802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116446 + ... + 435394.

It is an arithmetic number, because the mean of its divisors is an integer number (5116755375).

Almost surely, 288004408080 is an apocalyptic number.

88004408080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88004408080 is an abundant number, since it is smaller than the sum of its proper divisors (116665806920).

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

88004408080 is a wasteful number, since it uses less digits than its factorization.

88004408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322411 (or 322405 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 88004408080 in words is "eighty-eight billion, four million, four hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3449 6898 13796 17245 27592 34490 55184 68980 137960 275920 318949 637898 1275796 1594745 2551592 3189490 5103184 6378980 12757960 25515920 1100055101 2200110202 4400220404 5500275505 8800440808 11000551010 17600881616 22001102020 44002204040 88004408080