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542344633656 = 23373228241867
BaseRepresentation
bin1111110010001100100…
…00100101110100111000
31220211212221002222110120
413321012100211310320
532341210211234111
61053052155413240
754116543215650
oct7710620456470
91824787088416
10542344633656
1119a009452501
128913a154220
133c1b1ba2117
141c36cd5b360
15e1933a6406
hex7e46425d38

542344633656 has 32 divisors (see below), whose sum is σ = 1549556096640. Its totient is φ = 154955609568.

The previous prime is 542344633631. The next prime is 542344633703. The reversal of 542344633656 is 656336443245.

It is a junction number, because it is equal to n+sod(n) for n = 542344633599 and 542344633608.

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 7 ways as a sum of consecutive naturals, for example, 1614120766 + ... + 1614121101.

It is an arithmetic number, because the mean of its divisors is an integer number (48423628020).

Almost surely, 2542344633656 is an apocalyptic number.

542344633656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

542344633656 is an abundant number, since it is smaller than the sum of its proper divisors (1007211462984).

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

542344633656 is a wasteful number, since it uses less digits than its factorization.

542344633656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228241883 (or 3228241879 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 51.

The spelling of 542344633656 in words is "five hundred forty-two billion, three hundred forty-four million, six hundred thirty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3228241867 6456483734 9684725601 12912967468 19369451202 22597693069 25825934936 38738902404 45195386138 67793079207 77477804808 90390772276 135586158414 180781544552 271172316828 542344633656