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10549302624961 = 1721910572
BaseRepresentation
bin1001100110000011001101…
…1011111000001011000001
31101100111121001000210222121
42121200303123320023001
52340314432432444321
634234141022404241
72136106360540222
oct231406333701301
941314531023877
1010549302624961
1133a7a30348361
121224638130681
135b6a44715659
142868361cd249
151346290b6441
hex998336f82c1

10549302624961 has 9 divisors (see below), whose sum is σ = 11206411270249. Its totient is φ = 9928703444224.

The previous prime is 10549302624871. The next prime is 10549302624997. The reversal of 10549302624961 is 16942620394501.

It is a happy number.

The square root of 10549302624961 is 3247969.

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 6868430151361 + 3680872473600 = 2620769^2 + 1918560^2 .

It is not a de Polignac number, because 10549302624961 - 215 = 10549302592193 is a prime.

It is a super-2 number, since 2×105493026249612 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10549302624899 and 10549302624908.

It is not an unprimeable number, because it can be changed into a prime (10549302621961) 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, 55119945 + ... + 55311001.

Almost surely, 210549302624961 is an apocalyptic number.

10549302624961 is the 3247969-th square number.

10549302624961 is the 1623985-th centered octagonal number.

It is an amenable number.

10549302624961 is a deficient number, since it is larger than the sum of its proper divisors (657108645288).

10549302624961 is an frugal number, since it uses more digits than its factorization.

10549302624961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382148 (or 191074 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 10549302624961 in words is "ten trillion, five hundred forty-nine billion, three hundred two million, six hundred twenty-four thousand, nine hundred sixty-one".

Divisors: 1 17 289 191057 3247969 55215473 36502777249 620547213233 10549302624961