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10454244516 = 2232170412
BaseRepresentation
bin10011011110001111…
…10001110010100100
3222222120111122110100
421233013301302210
5132402241311031
64445210424100
7520031416662
oct115707616244
928876448410
1010454244516
11448516a701
122039132030
13ca7b42101
14712607c32
15412bd8de6
hex26f1f1ca4

10454244516 has 27 divisors (see below), whose sum is σ = 26427557793. Its totient is φ = 3484543680.

The previous prime is 10454244509. The next prime is 10454244547. The reversal of 10454244516 is 61544245401.

The square root of 10454244516 is 102246.

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

10454244516 is a `hidden beast` number, since 104 + 542 + 4 + 4 + 5 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9495722916 + 958521600 = 97446^2 + 30960^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 604956 + ... + 621996.

Almost surely, 210454244516 is an apocalyptic number.

10454244516 is the 102246-th square number.

It is an amenable number.

10454244516 is an abundant number, since it is smaller than the sum of its proper divisors (15973313277).

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

10454244516 is an frugal number, since it uses more digits than its factorization.

10454244516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34092 (or 17046 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 10454244516 by its sum of digits (36), we get a square (376352802576 = 6134762).

10454244516 divided by its sum of digits (36) gives a square (290395681 = 170412).

Adding to 10454244516 its reverse (61544245401), we get a palindrome (71998489917).

The spelling of 10454244516 in words is "ten billion, four hundred fifty-four million, two hundred forty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 17041 34082 51123 68164 102246 153369 204492 306738 613476 290395681 580791362 871187043 1161582724 1742374086 2613561129 3484748172 5227122258 10454244516