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54136455631504 = 241072171912
BaseRepresentation
bin11000100111100101000000…
…01101010001001010010000
321002200101122200012021021221
430103302200031101022100
524043432430120202004
6311045535553054424
714255141560232551
oct1423624015211220
9232611580167257
1054136455631504
1116282161962334
1260a4011557414
1324290799ab01c
14d5230b548328
1563d3305b8354
hex313ca0351290

54136455631504 has 45 divisors (see below), whose sum is σ = 105884978162691. Its totient is φ = 26813693881440.

The previous prime is 54136455631441. The next prime is 54136455631529. The reversal of 54136455631504 is 40513655463145.

The square root of 54136455631504 is 7357748.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3149107549 + ... + 3149124739.

Almost surely, 254136455631504 is an apocalyptic number.

54136455631504 is the 7357748-th square number.

It is an amenable number.

54136455631504 is a deficient number, since it is larger than the sum of its proper divisors (51748522531187).

54136455631504 is an frugal number, since it uses more digits than its factorization.

54136455631504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34604 (or 17300 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 52.

The spelling of 54136455631504 in words is "fifty-four trillion, one hundred thirty-six billion, four hundred fifty-five million, six hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 107 214 428 856 1712 11449 17191 22898 34382 45796 68764 91592 137528 183184 275056 1839437 3678874 7357748 14715496 29430992 196819759 295530481 393639518 591060962 787279036 1182121924 1574558072 2364243848 3149116144 4728487696 31621761467 63243522934 126487045868 252974091736 505948183472 3383528476969 6767056953938 13534113907876 27068227815752 54136455631504