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5174015043744 = 253217965330013
BaseRepresentation
bin100101101001010101101…
…0101000010100010100000
3200022122001000010021010100
41023102223111002202200
51134232340322344434
615000524254502400
71042544626141161
oct113225325024240
920278030107110
105174015043744
1117153186734a8
126b6913204a00
132b6ba4aa9281
1413c5d076b768
158e8c47b4699
hex4b4ab5428a0

5174015043744 has 36 divisors (see below), whose sum is σ = 14713605281466. Its totient is φ = 1724671681152.

The previous prime is 5174015043677. The next prime is 5174015043749. The reversal of 5174015043744 is 4473405104715.

5174015043744 is a `hidden beast` number, since 5 + 1 + 74 + 0 + 1 + 504 + 3 + 74 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3092631753744 + 2081383290000 = 1758588^2 + 1442700^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5174015043744.

It is not an unprimeable number, because it can be changed into a prime (5174015043749) 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 5 ways as a sum of consecutive naturals, for example, 8982664719 + ... + 8982665294.

Almost surely, 25174015043744 is an apocalyptic number.

It is an amenable number.

5174015043744 is an abundant number, since it is smaller than the sum of its proper divisors (9539590237722).

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

5174015043744 is a wasteful number, since it uses less digits than its factorization.

5174015043744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17965330029 (or 17965330018 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 5174015043744 in words is "five trillion, one hundred seventy-four billion, fifteen million, forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 17965330013 35930660026 53895990039 71861320052 107791980078 143722640104 161687970117 215583960156 287445280208 323375940234 431167920312 574890560416 646751880468 862335840624 1293503760936 1724671681248 2587007521872 5174015043744