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54074861072736 = 253780468543263
BaseRepresentation
bin11000100101110010010001…
…11000101011000101100000
321002110111200001011111010120
430102321020320223011200
524041430303413311421
6311001352004000240
714250531316146510
oct1422711070530540
9232414601144116
1054074861072736
111625902438a709
1260940a1690080
132423311aa194a
14d4d346db9840
1563b927d8d8c6
hex312e48e2b160

54074861072736 has 48 divisors (see below), whose sum is σ = 162224583220224. Its totient is φ = 15449960306304.

The previous prime is 54074861072621. The next prime is 54074861072737. The reversal of 54074861072736 is 63727016847045.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54074861072736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54074861072737) by changing a digit.

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, 40234270960 + ... + 40234272303.

It is an arithmetic number, because the mean of its divisors is an integer number (3379678817088).

Almost surely, 254074861072736 is an apocalyptic number.

54074861072736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54074861072736 is an abundant number, since it is smaller than the sum of its proper divisors (108149722147488).

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

54074861072736 is a wasteful number, since it uses less digits than its factorization.

54074861072736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80468543283 (or 80468543275 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 54074861072736 in words is "fifty-four trillion, seventy-four billion, eight hundred sixty-one million, seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 80468543263 160937086526 241405629789 321874173052 482811259578 563279802841 643748346104 965622519156 1126559605682 1287496692208 1689839408523 1931245038312 2253119211364 2574993384416 3379678817046 3862490076624 4506238422728 6759357634092 7724980153248 9012476845456 13518715268184 18024953690912 27037430536368 54074861072736