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542136653568 = 28321032284489
BaseRepresentation
bin1111110001110011101…
…11001101011100000000
31220211100102202111102100
413320321313031130000
532340243440403233
61053015405550400
754111436344006
oct7707167153400
91824312674370
10542136653568
11199a12009a34
12890a0575400
133c17aa82793
141c34d49ca76
15e17eec2813
hex7e39dcd700

542136653568 has 108 divisors (see below), whose sum is σ = 1578290175280. Its totient is φ = 178957651968.

The previous prime is 542136653551. The next prime is 542136653621. The reversal of 542136653568 is 865356631245.

542136653568 is a `hidden beast` number, since 5 + 4 + 2 + 13 + 6 + 65 + 3 + 568 = 666.

It is a super-2 number, since 2×5421366535682 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904933 + ... + 1379556.

Almost surely, 2542136653568 is an apocalyptic number.

It is an amenable number.

542136653568 is an abundant number, since it is smaller than the sum of its proper divisors (1036153521712).

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

542136653568 is a wasteful number, since it uses less digits than its factorization.

542136653568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284614 (or 2284597 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 542136653568 in words is "five hundred forty-two billion, one hundred thirty-six million, six hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 256 288 309 384 412 576 618 768 824 927 1152 1236 1648 1854 2304 2472 3296 3708 4944 6592 7416 9888 13184 14832 19776 26368 29664 39552 59328 79104 118656 237312 2284489 4568978 6853467 9137956 13706934 18275912 20560401 27413868 36551824 41120802 54827736 73103648 82241604 109655472 146207296 164483208 219310944 235302367 292414592 328966416 438621888 470604734 584829184 657932832 705907101 877243776 941209468 1315865664 1411814202 1754487552 1882418936 2117721303 2631731328 2823628404 3764837872 4235442606 5263462656 5647256808 7529675744 8470885212 11294513616 15059351488 16941770424 22589027232 30118702976 33883540848 45178054464 60237405952 67767081696 90356108928 135534163392 180712217856 271068326784 542136653568