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58035466144 = 2537471042903
BaseRepresentation
bin110110000011001011…
…101110111110100000
312112210120222010221001
4312003023232332200
51422324034404034
642354445241344
74123113215515
oct660313567640
9175716863831
1058035466144
1122681564767
12b2b7b63254
13561b74cb16
142b479cb30c
15179a048a14
hexd832eefa0

58035466144 has 48 divisors (see below), whose sum is σ = 119842184448. Its totient is φ = 27632731392.

The previous prime is 58035466127. The next prime is 58035466147. The reversal of 58035466144 is 44166453085.

It is a junction number, because it is equal to n+sod(n) for n = 58035466094 and 58035466103.

It is not an unprimeable number, because it can be changed into a prime (58035466147) 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 7 ways as a sum of consecutive naturals, for example, 465804 + ... + 577099.

It is an arithmetic number, because the mean of its divisors is an integer number (2496712176).

Almost surely, 258035466144 is an apocalyptic number.

It is an amenable number.

58035466144 is an abundant number, since it is smaller than the sum of its proper divisors (61806718304).

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

58035466144 is a wasteful number, since it uses less digits than its factorization.

58035466144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042997 (or 1042989 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 58035466144 in words is "fifty-eight billion, thirty-five million, four hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 47 74 94 148 188 296 376 592 752 1184 1504 1739 3478 6956 13912 27824 55648 1042903 2085806 4171612 8343224 16686448 33372896 38587411 49016441 77174822 98032882 154349644 196065764 308699288 392131528 617398576 784263056 1234797152 1568526112 1813608317 3627216634 7254433268 14508866536 29017733072 58035466144