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45031053160 = 2351777385669
BaseRepresentation
bin101001111100000011…
…110101011101101000
311022020021212111222201
4221330003311131220
51214210422200120
632404215425544
73152624431162
oct517403653550
9138207774881
1045031053160
1118108945815
1288889852b4
1343284945b2
142272833932
15128852440a
hexa7c0f5768

45031053160 has 64 divisors (see below), whose sum is σ = 107419899600. Its totient is φ = 16930738176.

The previous prime is 45031053103. The next prime is 45031053181. The reversal of 45031053160 is 6135013054.

It can be written as a sum of positive squares in 8 ways, for example, as 14076873316 + 30954179844 = 118646^2 + 175938^2 .

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 15 ways as a sum of consecutive naturals, for example, 482806 + ... + 568474.

Almost surely, 245031053160 is an apocalyptic number.

45031053160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45031053160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53709949800).

45031053160 is an abundant number, since it is smaller than the sum of its proper divisors (62388846440).

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

45031053160 is a wasteful number, since it uses less digits than its factorization.

45031053160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86470 (or 86466 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 45031053160 in words is "forty-five billion, thirty-one million, fifty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 773 1546 3092 3865 6184 7730 13141 15460 26282 30920 52564 65705 85669 105128 131410 171338 262820 342676 428345 525640 685352 856690 1456373 1713380 2912746 3426760 5825492 7281865 11650984 14563730 29127460 58254920 66222137 132444274 264888548 331110685 529777096 662221370 1125776329 1324442740 2251552658 2648885480 4503105316 5628881645 9006210632 11257763290 22515526580 45031053160