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45943292192 = 257254132
BaseRepresentation
bin101010110010011011…
…110000000100100000
311101120212102001200112
4222302123300010200
51223042440322232
633034524110452
73214342353200
oct526233600440
9141525361615
1045943292192
1118536877476
128aa2395428
1344424849c5
14231ba58400
1512dd66c4b2
hexab26f0120

45943292192 has 54 divisors (see below), whose sum is σ = 105237784953. Its totient is φ = 19686344832.

The previous prime is 45943292123. The next prime is 45943292249. The reversal of 45943292192 is 29129234954.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 41928295696 + 4014996496 = 204764^2 + 63364^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=151564.

It is a super-2 number, since 2×459432921922 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45943292192.

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, 8484878 + ... + 8490290.

Almost surely, 245943292192 is an apocalyptic number.

It is an amenable number.

45943292192 is an abundant number, since it is smaller than the sum of its proper divisors (59294492761).

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

45943292192 is an frugal number, since it uses more digits than its factorization.

45943292192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10850 (or 5422 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 50.

Multiplying 45943292192 by its sum of digits (50), we get a square (2297164609600 = 15156402).

The spelling of 45943292192 in words is "forty-five billion, nine hundred forty-three million, two hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 5413 10826 21652 37891 43304 75782 86608 151564 173216 265237 303128 530474 606256 1060948 1212512 2121896 4243792 8487584 29300569 58601138 117202276 205103983 234404552 410207966 468809104 820415932 937618208 1435727881 1640831864 2871455762 3281663728 5742911524 6563327456 11485823048 22971646096 45943292192