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88239296601 = 32990172
BaseRepresentation
bin101001000101101111…
…0001101000001011001
322102202112210201010100
41102023132031001121
52421203224442401
6104311522210013
76242436434331
oct1221336150131
9272675721110
1088239296601
1134470867615
12151271b3909
138423110851
1443b11340c1
1524669d6b86
hex148b78d059

88239296601 has 9 divisors (see below), whose sum is σ = 127458048991. Its totient is φ = 58825603632.

The previous prime is 88239296581. The next prime is 88239296699. The reversal of 88239296601 is 10669293288.

The square root of 88239296601 is 297051.

It is a perfect power (a square), and thus also a powerful number.

88239296601 is a `hidden beast` number, since 8 + 8 + 2 + 3 + 9 + 29 + 6 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16040025 + 88223256576 = 4005^2 + 297024^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 88239296601 - 231 = 86091812953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88239292601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 841645 + ... + 940661.

Almost surely, 288239296601 is an apocalyptic number.

88239296601 is the 297051-st square number.

88239296601 is the 148526-th centered octagonal number.

It is an amenable number.

88239296601 is a deficient number, since it is larger than the sum of its proper divisors (39218752390).

88239296601 is an frugal number, since it uses more digits than its factorization.

88239296601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198040 (or 99020 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 88239296601 in words is "eighty-eight billion, two hundred thirty-nine million, two hundred ninety-six thousand, six hundred one".

Divisors: 1 3 9 99017 297051 891153 9804366289 29413098867 88239296601