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10746224896 = 28112192312
BaseRepresentation
bin10100000001000011…
…00110000100000000
31000201220220210020111
422000201212010000
5134002013144041
64534200521104
7530205255511
oct120041460400
930656823214
1010746224896
114614a66900
1220baa80194
131023492874
1473d2d0a08
1542d661981
hex280866100

10746224896 has 243 divisors, whose sum is σ = 25712645679. Its totient is φ = 4478284800.

The previous prime is 10746224893. The next prime is 10746224897. The reversal of 10746224896 is 69842264701.

The square root of 10746224896 is 103664.

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

It is not an unprimeable number, because it can be changed into a prime (10746224893) 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, 346652401 + ... + 346652431.

Almost surely, 210746224896 is an apocalyptic number.

10746224896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10746224896 is the 103664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10746224896

10746224896 is an abundant number, since it is smaller than the sum of its proper divisors (14966420783).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10746224896 is an equidigital number, since it uses as much as digits as its factorization.

10746224896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 10746224896 by its sum of digits (49), we get a square (526565019904 = 7256482).

The spelling of 10746224896 in words is "ten billion, seven hundred forty-six million, two hundred twenty-four thousand, eight hundred ninety-six".