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542345543245 = 511612413132143
BaseRepresentation
bin1111110010001100101…
…00000011111001001101
31220211212222211012012001
413321012110003321031
532341210424340440
61053052231112301
754116554024552
oct7710624037115
91824788735161
10542345543245
1119a009a13930
128913a512691
133c1b213013c
141c36d116a29
15e1934d5b9a
hex7e46503e4d

542345543245 has 64 divisors (see below), whose sum is σ = 727267166208. Its totient is φ = 384943104000.

The previous prime is 542345543227. The next prime is 542345543249.

It is a happy number.

542345543245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542345543245 - 29 = 542345542733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542345543195 and 542345543204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542345543249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253076644 + ... + 253078786.

It is an arithmetic number, because the mean of its divisors is an integer number (11363549472).

Almost surely, 2542345543245 is an apocalyptic number.

542345543245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542345543245 is a deficient number, since it is larger than the sum of its proper divisors (184921622963).

542345543245 is a wasteful number, since it uses less digits than its factorization.

542345543245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774.

The product of its digits is 5760000, while the sum is 46.

The spelling of 542345543245 in words is "five hundred forty-two billion, three hundred forty-five million, five hundred forty-three thousand, two hundred forty-five".

Divisors: 1 5 11 55 61 241 305 313 671 1205 1565 2143 2651 3355 3443 10715 13255 14701 17215 19093 23573 73505 75433 95465 117865 130723 161711 210023 377165 516463 653615 670759 808555 829763 1050115 1437953 2582315 3353795 4148815 4601413 5681093 7189765 7378349 23007065 28405465 31504243 36891745 40916299 50615543 157521215 161652919 204581495 253077715 346546673 450079289 808264595 1732733365 1778182109 2250396445 8890910545 9860828059 49304140295 108469108649 542345543245