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53553040400 = 2452971380233
BaseRepresentation
bin110001111000000000…
…101000110000010000
312010020012111022202202
4301320000220300100
51334134034243100
640334003302332
73604044222056
oct617000506020
9163205438682
1053553040400
1120791327982
12a46697a9a8
135085bba5b2
1428405781d6
1515d677c7d5
hexc78028c10

53553040400 has 60 divisors (see below), whose sum is σ = 129987677652. Its totient is φ = 21200363520.

The previous prime is 53553040391. The next prime is 53553040441. The reversal of 53553040400 is 404035535.

It can be written as a sum of positive squares in 6 ways, for example, as 2929840384 + 50623200016 = 54128^2 + 224996^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651317 + ... + 728916.

Almost surely, 253553040400 is an apocalyptic number.

53553040400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53553040400 is an abundant number, since it is smaller than the sum of its proper divisors (76434637252).

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

53553040400 is a wasteful number, since it uses less digits than its factorization.

53553040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380348 (or 1380337 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

Adding to 53553040400 its reverse (404035535), we get a palindrome (53957075935).

The spelling of 53553040400 in words is "fifty-three billion, five hundred fifty-three million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 194 200 388 400 485 776 970 1552 1940 2425 3880 4850 7760 9700 19400 38800 1380233 2760466 5520932 6901165 11041864 13802330 22083728 27604660 34505825 55209320 69011650 110418640 133882601 138023300 267765202 276046600 535530404 552093200 669413005 1071060808 1338826010 2142121616 2677652020 3347065025 5355304040 6694130050 10710608080 13388260100 26776520200 53553040400