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552381914176 = 2661215232
BaseRepresentation
bin10000000100111001000…
…01110001110001000000
31221210210110000122211221
420002130201301301000
533022234232223201
61101432153244424
754623352541321
oct10023441616100
91853713018757
10552381914176
111a329a20a964
128b07b703714
1340121513371
141ca42026448
15e57e67a4a1
hex809c871c40

552381914176 has 63 divisors (see below), whose sum is σ = 1115129024373. Its totient is φ = 271484862720.

The previous prime is 552381914159. The next prime is 552381914179. The reversal of 552381914176 is 671419183255.

The square root of 552381914176 is 743224.

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

It can be written as a sum of positive squares in only one way, i.e., 17962432576 + 534419481600 = 134024^2 + 731040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (552381914179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 362692551 + ... + 362694073.

Almost surely, 2552381914176 is an apocalyptic number.

552381914176 is the 743224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552381914176

552381914176 is an abundant number, since it is smaller than the sum of its proper divisors (562747110197).

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

552381914176 is an frugal number, since it uses more digits than its factorization.

552381914176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 1586 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 52.

The spelling of 552381914176 in words is "five hundred fifty-two billion, three hundred eighty-one million, nine hundred fourteen thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1523 1952 3046 3721 3904 6092 7442 12184 14884 24368 29768 48736 59536 92903 97472 119072 185806 238144 371612 743224 1486448 2319529 2972896 4639058 5667083 5945792 9278116 11334166 18556232 22668332 37112464 45336664 74224928 90673328 141491269 148449856 181346656 282982538 362693312 565965076 1131930152 2263860304 4527720608 8630967409 9055441216 17261934818 34523869636 69047739272 138095478544 276190957088 552381914176