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54052158356352 = 2731213193217
BaseRepresentation
bin11000100101000111111111…
…01100101011101110000000
321002101100001212000000000000
430102203333230223232000
524041042310014400402
6310543115130000000
714246065605224142
oct1422437754535600
9232340055000000
1054052158356352
111624a434289892
12608b806576000
13242113449c060
14d4c1d1b94c92
1563b049c02c1c
hex3128ffb2bb80

54052158356352 has 832 divisors, whose sum is σ = 183159856597200. Its totient is φ = 15751196983296.

The previous prime is 54052158356323. The next prime is 54052158356353. The reversal of 54052158356352 is 25365385125045.

54052158356352 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 2 + 1 + 583 + 5 + 6 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54052158356353) by changing a digit.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 16802037048 + ... + 16802040264.

Almost surely, 254052158356352 is an apocalyptic number.

54052158356352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54052158356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91579928298600).

54052158356352 is an abundant number, since it is smaller than the sum of its proper divisors (129107698240848).

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

54052158356352 is an frugal number, since it uses more digits than its factorization.

54052158356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 54052158356352 in words is "fifty-four trillion, fifty-two billion, one hundred fifty-eight million, three hundred fifty-six thousand, three hundred fifty-two".