Search a number
-
+
880522888968 = 23321105872
BaseRepresentation
bin11001101000000110100…
…00010000011100001000
310010011210011011022210200
430310003100100130020
5103411302324421333
61512301233212200
7120421115031162
oct14640320203410
93104704138720
10880522888968
1130a478241018
12122799401060
136505751b938
1430890733932
1517d8764ac13
hexcd03410708

880522888968 has 36 divisors (see below), whose sum is σ = 2384771055615. Its totient is φ = 293504975568.

The previous prime is 880522888963. The next prime is 880522889009. The reversal of 880522888968 is 869888225088.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

880522888968 is a `hidden beast` number, since 8 + 8 + 0 + 522 + 8 + 8 + 8 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 440261444484 + 440261444484 = 663522^2 + 663522^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=663522.

It is a super-2 number, since 2×8805228889682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 880522888896 and 880522888905.

It is not an unprimeable number, because it can be changed into a prime (880522888963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7906971 + ... + 8017557.

Almost surely, 2880522888968 is an apocalyptic number.

It is an amenable number.

880522888968 is an abundant number, since it is smaller than the sum of its proper divisors (1504248166647).

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

880522888968 is an frugal number, since it uses more digits than its factorization.

880522888968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221186 (or 110592 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 72.

Multiplying 880522888968 by its sum of digits (72), we get a square (63397648005696 = 79622642).

880522888968 divided by its sum of digits (72) gives a square (12229484569 = 1105872).

The spelling of 880522888968 in words is "eight hundred eighty billion, five hundred twenty-two million, eight hundred eighty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 110587 221174 331761 442348 663522 884696 995283 1327044 1990566 2654088 3981132 7962264 12229484569 24458969138 36688453707 48917938276 73376907414 97835876552 110065361121 146753814828 220130722242 293507629656 440261444484 880522888968