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542347743245 = 57114332760359
BaseRepresentation
bin1111110010001100111…
…00011101000000001101
31220211220010221222000112
413321012130131000031
532341212010240440
61053052350205405
754116611516550
oct7710634350015
91824803858015
10542347743245
1119a010186810
128913b1b3865
133c1b2720609
141c36d52a697
15e1937bc965
hex7e4671d00d

542347743245 has 32 divisors (see below), whose sum is σ = 830278563840. Its totient is φ = 330224408640.

The previous prime is 542347743233. The next prime is 542347743269.

542347743245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542347743245 - 210 = 542347742221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542347743193 and 542347743202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16363625 + ... + 16396734.

It is an arithmetic number, because the mean of its divisors is an integer number (25946205120).

Almost surely, 2542347743245 is an apocalyptic number.

542347743245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542347743245 is a deficient number, since it is larger than the sum of its proper divisors (287930820595).

542347743245 is a wasteful number, since it uses less digits than its factorization.

542347743245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32760425.

The product of its digits is 11289600, while the sum is 50.

The spelling of 542347743245 in words is "five hundred forty-two billion, three hundred forty-seven million, seven hundred forty-three thousand, two hundred forty-five".

Divisors: 1 5 7 11 35 43 55 77 215 301 385 473 1505 2365 3311 16555 32760359 163801795 229322513 360363949 1146612565 1408695437 1801819745 2522547643 7043477185 9860868059 12612738215 15495649807 49304340295 77478249035 108469548649 542347743245