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542050241436 = 2233114111128567
BaseRepresentation
bin1111110001101001011…
…01100100101110011100
31220211010102011022021000
413320310231210232130
532340104330211221
61053003041510300
754106340013414
oct7706455445634
91824112138230
10542050241436
11199978259250
1289077642390
133c165bb8942
141c341c07644
15e177603e26
hex7e34b64b9c

542050241436 has 96 divisors (see below), whose sum is σ = 1570463516160. Its totient is φ = 160251350400.

The previous prime is 542050241417. The next prime is 542050241459. The reversal of 542050241436 is 634142050245.

542050241436 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 502 + 4 + 143 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 542050241436.

It is a congruent number.

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, 5515576 + ... + 5612991.

It is an arithmetic number, because the mean of its divisors is an integer number (16358994960).

Almost surely, 2542050241436 is an apocalyptic number.

It is an amenable number.

542050241436 is an abundant number, since it is smaller than the sum of its proper divisors (1028413274724).

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

542050241436 is a wasteful number, since it uses less digits than its factorization.

542050241436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11128632 (or 11128624 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 542050241436 in words is "five hundred forty-two billion, fifty million, two hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 4059 4428 5412 8118 12177 16236 24354 48708 11128567 22257134 33385701 44514268 66771402 100157103 122414237 133542804 200314206 244828474 300471309 367242711 400628412 456271247 489656948 600942618 734485422 912542494 1101728133 1201885236 1368813741 1468970844 1825084988 2203456266 2737627482 3305184399 4106441223 4406912532 5018983717 5475254964 6610368798 8212882446 10037967434 12319323669 13220737596 15056951151 16425764892 20075934868 24638647338 30113902302 45170853453 49277294676 60227804604 90341706906 135512560359 180683413812 271025120718 542050241436