Search a number
-
+
88625885401 = 4125321372
BaseRepresentation
bin101001010001010000…
…0111011000011011001
322110202111020110021001
41102202200323003121
52423001211313101
6104414132145001
76255142411354
oct1224240730331
9273674213231
1088625885401
113464a002499
1215214768161
138485237a11
14440a60729b
15248a8eb901
hex14a283b0d9

88625885401 has 27 divisors (see below), whose sum is σ = 93267266743. Its totient is φ = 84213658880.

The previous prime is 88625885393. The next prime is 88625885419. The reversal of 88625885401 is 10458852688.

The square root of 88625885401 is 297701.

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

It can be written as a sum of positive squares in 13 ways, for example, as 65357433801 + 23268451600 = 255651^2 + 152540^2 .

It is not a de Polignac number, because 88625885401 - 23 = 88625885393 is a prime.

It is a super-2 number, since 2×886258854012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88625885501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 646904205 + ... + 646904341.

Almost surely, 288625885401 is an apocalyptic number.

88625885401 is the 297701-st square number.

88625885401 is the 148851-st centered octagonal number.

It is an amenable number.

88625885401 is a deficient number, since it is larger than the sum of its proper divisors (4641381342).

88625885401 is an frugal number, since it uses more digits than its factorization.

88625885401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 55.

The spelling of 88625885401 in words is "eighty-eight billion, six hundred twenty-five million, eight hundred eighty-five thousand, four hundred one".

Divisors: 1 41 53 137 1681 2173 2809 5617 7261 18769 89093 115169 230297 297701 384833 769529 994757 4721929 12205741 15778153 31550689 40785037 52722121 646904273 1672186517 2161606961 88625885401