Search a number
-
+
542233432520 = 235137331745061
BaseRepresentation
bin1111110001111111010…
…00011001000111001000
31220211121011212101011222
413320333220121013020
532340443224320040
61053033144141212
754114023062253
oct7707750310710
91824534771158
10542233432520
11199a6170043a
1289108a67808
133c194b39130
141c35c29209a
15e18873cbb5
hex7e3fa191c8

542233432520 has 128 divisors (see below), whose sum is σ = 1336102719840. Its totient is φ = 196839383040.

The previous prime is 542233432483. The next prime is 542233432571. The reversal of 542233432520 is 25234332245.

It can be written as a sum of positive squares in 16 ways, for example, as 9569926276 + 532663506244 = 97826^2 + 729838^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12010790 + ... + 12055850.

Almost surely, 2542233432520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542233432520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668051359920).

542233432520 is an abundant number, since it is smaller than the sum of its proper divisors (793869287320).

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

542233432520 is a wasteful number, since it uses less digits than its factorization.

542233432520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45475 (or 45471 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 542233432520 its reverse (25234332245), we get a palindrome (567467764765).

The spelling of 542233432520 in words is "five hundred forty-two billion, two hundred thirty-three million, four hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 317 365 520 584 634 730 949 1268 1460 1585 1898 2536 2920 3170 3796 4121 4745 6340 7592 8242 9490 12680 16484 18980 20605 23141 32968 37960 41210 45061 46282 82420 90122 92564 115705 164840 180244 185128 225305 231410 300833 360488 450610 462820 585793 601666 901220 925640 1171586 1203332 1504165 1802440 2343172 2406664 2928965 3008330 3289453 4686344 5857930 6016660 6578906 11715860 12033320 13157812 14284337 16447265 23431720 26315624 28568674 32894530 42762889 57137348 65789060 71421685 85525778 114274696 131578120 142843370 171051556 185696381 213814445 285686740 342103112 371392762 427628890 571373480 742785524 855257780 928481905 1042756601 1485571048 1710515560 1856963810 2085513202 3713927620 4171026404 5213783005 7427855240 8342052808 10427566010 13555835813 20855132020 27111671626 41710264040 54223343252 67779179065 108446686504 135558358130 271116716260 542233432520