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53046381124 = 22112194292
BaseRepresentation
bin110001011001110011…
…111000101001000100
312001220220010100220101
4301121303320221010
51332114333143444
640211424013444
73555352541242
oct613163705104
9161826110811
1053046381124
1120551332300
12a345161284
135004c433c9
1427d316b792
1515a704b3d4
hexc59cf8a44

53046381124 has 135 divisors (see below), whose sum is σ = 111548352461. Its totient is φ = 22055251680.

The previous prime is 53046381121. The next prime is 53046381133. The reversal of 53046381124 is 42118364035.

The square root of 53046381124 is 230318.

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., 27816235524 + 25230145600 = 166782^2 + 158840^2 .

It is not an unprimeable number, because it can be changed into a prime (53046381121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1829185542 + ... + 1829185570.

Almost surely, 253046381124 is an apocalyptic number.

53046381124 is the 230318-th square number.

It is an amenable number.

53046381124 is an abundant number, since it is smaller than the sum of its proper divisors (58501971337).

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

53046381124 is an equidigital number, since it uses as much as digits as its factorization.

53046381124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 53046381124 in words is "fifty-three billion, forty-six million, three hundred eighty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 121 209 242 319 361 418 484 551 638 722 836 841 1102 1276 1444 1682 2204 2299 3364 3509 3971 4598 6061 6859 7018 7942 9196 9251 10469 12122 13718 14036 15884 15979 18502 20938 24244 27436 31958 37004 41876 43681 63916 66671 75449 87362 101761 115159 130321 133342 150898 174724 175769 198911 203522 230318 260642 266684 301796 303601 351538 397822 407044 460636 521284 607202 703076 795644 829939 1214404 1266749 1433531 1659878 1933459 2188021 2533498 2867062 3319756 3339611 3779309 3866918 4376042 5066996 5734124 5768419 6679222 7558618 7733836 8752084 11536838 13358444 15117236 15768841 23073676 24068231 31537682 36735721 41572399 48136462 63075364 63452609 73471442 83144798 96272924 109599961 126905218 146942884 166289596 219199922 253810436 438399844 457296389 697978699 914592778 1205599571 1395957398 1829185556 2411199142 2791914796 4822398284 13261595281 26523190562 53046381124