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54286104400 = 24521112337751
BaseRepresentation
bin110010100011101101…
…000011011101010000
312012010021212211112021
4302203231003131100
51342134220320100
640534431341224
73631155162643
oct624355033520
9165107784467
1054286104400
11210280aa7a0
12a630381814
135171a35488
1428ada7ba5a
15162acd1a1a
hexca3b43750

54286104400 has 60 divisors (see below), whose sum is σ = 142278956064. Its totient is φ = 19740400000.

The previous prime is 54286104377. The next prime is 54286104401. The reversal of 54286104400 is 440168245.

It is a super-2 number, since 2×542861044002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54286104401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6164476 + ... + 6173275.

Almost surely, 254286104400 is an apocalyptic number.

54286104400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54286104400 is an abundant number, since it is smaller than the sum of its proper divisors (87992851664).

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

54286104400 is a wasteful number, since it uses less digits than its factorization.

54286104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12337780 (or 12337769 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 54286104400 in words is "fifty-four billion, two hundred eighty-six million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 12337751 24675502 49351004 61688755 98702008 123377510 135715261 197404016 246755020 271430522 308443775 493510040 542861044 616887550 678576305 987020080 1085722088 1233775100 1357152610 2171444176 2467550200 2714305220 3392881525 4935100400 5428610440 6785763050 10857220880 13571526100 27143052200 54286104400