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5374258499232 = 2532717254961519
BaseRepresentation
bin100111000110100101011…
…0001001100111010100000
3201000202220022111202202200
41032031022301030322200
51201022440133433412
615232522243013200
71063164064342020
oct116151261147240
921022808452680
105374258499232
1117922348a8387
1272969836a200
132cca3768903c
14148188d03a80
1594be42c89dc
hex4e34ac4cea0

5374258499232 has 288 divisors, whose sum is σ = 18501327936000. Its totient is φ = 1444588314624.

The previous prime is 5374258499219. The next prime is 5374258499237. The reversal of 5374258499232 is 2329948524735.

5374258499232 is a `hidden beast` number, since 5 + 3 + 7 + 42 + 584 + 9 + 9 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5374258499232.

It is not an unprimeable number, because it can be changed into a prime (5374258499237) 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 47 ways as a sum of consecutive naturals, for example, 87328569 + ... + 87390087.

It is an arithmetic number, because the mean of its divisors is an integer number (64240722000).

Almost surely, 25374258499232 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 5374258499232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250663968000).

5374258499232 is an abundant number, since it is smaller than the sum of its proper divisors (13127069436768).

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

5374258499232 is a wasteful number, since it uses less digits than its factorization.

5374258499232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64108 (or 64097 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 5374258499232 in words is "five trillion, three hundred seventy-four billion, two hundred fifty-eight million, four hundred ninety-nine thousand, two hundred thirty-two".