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88633030369 = 132229012
BaseRepresentation
bin101001010001011110…
…0001011011011100001
322110202222200110022111
41102202330023123201
52423010023432434
6104414545235321
76255260220232
oct1224274133341
9273688613274
1088633030369
1134653042624
1215217032b41
138486869c00
14440b547089
15248b35d964
hex14a2f0b6e1

88633030369 has 9 divisors (see below), whose sum is σ = 95979602649. Its totient is φ = 81811532400.

The previous prime is 88633030363. The next prime is 88633030469. The reversal of 88633030369 is 96303033688.

The square root of 88633030369 is 297713.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5969880225 + 82663150144 = 77265^2 + 287512^2 .

It is not a de Polignac number, because 88633030369 - 29 = 88633029857 is a prime.

It is a super-3 number, since 3×886330303693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88633030363) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3858819 + ... + 3881719.

Almost surely, 288633030369 is an apocalyptic number.

88633030369 is the 297713-rd square number.

88633030369 is the 148857-th centered octagonal number.

It is an amenable number.

88633030369 is a deficient number, since it is larger than the sum of its proper divisors (7346572280).

88633030369 is an frugal number, since it uses more digits than its factorization.

88633030369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45828 (or 22914 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

Multiplying 88633030369 by its sum of digits (49), we get a square (4343018488081 = 20839912).

The spelling of 88633030369 in words is "eighty-eight billion, six hundred thirty-three million, thirty thousand, three hundred sixty-nine".

Divisors: 1 13 169 22901 297713 3870269 524455801 6817925413 88633030369