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54540132248 = 23741202711719
BaseRepresentation
bin110010110010110110…
…000101111110011000
312012202222212210020002
4302302312011332120
51343144233212443
641015544152132
73640361321630
oct626266057630
9165688783202
1054540132248
1121148534668
12a6a1468648
1351b2558304
1428d56c56c0
15164325e2b8
hexcb2d85f98

54540132248 has 64 divisors (see below), whose sum is σ = 119791526400. Its totient is φ = 22791041280.

The previous prime is 54540132223. The next prime is 54540132253. The reversal of 54540132248 is 84223104545.

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 15 ways as a sum of consecutive naturals, for example, 4648133 + ... + 4659851.

It is an arithmetic number, because the mean of its divisors is an integer number (1871742600).

Almost surely, 254540132248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54540132248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59895763200).

54540132248 is an abundant number, since it is smaller than the sum of its proper divisors (65251394152).

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

54540132248 is a wasteful number, since it uses less digits than its factorization.

54540132248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 54540132248 in words is "fifty-four billion, five hundred forty million, one hundred thirty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2027 2296 4054 8108 11719 14189 16216 23438 28378 46876 56756 82033 83107 93752 113512 164066 166214 328132 332428 480479 581749 656264 664856 960958 1163498 1921916 2326996 3363353 3843832 4653992 6726706 13453412 23754413 26906824 47508826 95017652 166280891 190035304 332561782 665123564 973930933 1330247128 1947861866 3895723732 6817516531 7791447464 13635033062 27270066124 54540132248