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105226276996 = 2224126732
BaseRepresentation
bin110000111111111111…
…0011001000010000100
3101001121101210201111101
41201333332121002010
53211000411330441
6120201300145444
710413414411451
oct1417776310204
9331541721441
10105226276996
1140698543395
1218488098284
139bcc4c5b39
1451431c4828
152b0ce8b231
hex187ff99084

105226276996 has 27 divisors (see below), whose sum is σ = 185188414383. Its totient is φ = 52316974080.

The previous prime is 105226276889. The next prime is 105226277041. The reversal of 105226276996 is 699672622501.

The square root of 105226276996 is 324386.

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 809402500 + 104416874496 = 28450^2 + 323136^2 .

It is a super-2 number, since 2×1052262769962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156353716 + ... + 156354388.

Almost surely, 2105226276996 is an apocalyptic number.

105226276996 is the 324386-th square number.

It is an amenable number.

105226276996 is a deficient number, since it is larger than the sum of its proper divisors (79962137387).

105226276996 is an frugal number, since it uses more digits than its factorization.

105226276996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 105226276996 in words is "one hundred five billion, two hundred twenty-six million, two hundred seventy-six thousand, nine hundred ninety-six".

Divisors: 1 2 4 241 482 673 964 1346 2692 58081 116162 162193 232324 324386 452929 648772 905858 1811716 39088513 78177026 109155889 156354052 218311778 436623556 26306569249 52613138498 105226276996