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58171429360 = 2451166103897
BaseRepresentation
bin110110001011010010…
…011001000111110000
312120011001210210101201
4312023102121013300
51423113341214420
642420143340544
74126353663652
oct661322310760
9176131723351
1058171429360
1122741289960
12b3355b1754
135640975925
142b5baa06d2
1517a6e5410a
hexd8b4991f0

58171429360 has 40 divisors (see below), whose sum is σ = 147543900336. Its totient is φ = 21153246720.

The previous prime is 58171429357. The next prime is 58171429427. The reversal of 58171429360 is 6392417185.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 58171429360.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33051069 + ... + 33052828.

It is a 1-persistent number, because it is pandigital, but 2⋅58171429360 = 116342858720 is not.

Almost surely, 258171429360 is an apocalyptic number.

It is an amenable number.

58171429360 is an abundant number, since it is smaller than the sum of its proper divisors (89372470976).

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

58171429360 is a wasteful number, since it uses less digits than its factorization.

58171429360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66103921 (or 66103915 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 58171429360 in words is "fifty-eight billion, one hundred seventy-one million, four hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 66103897 132207794 264415588 330519485 528831176 661038970 727142867 1057662352 1322077940 1454285734 2644155880 2908571468 3635714335 5288311760 5817142936 7271428670 11634285872 14542857340 29085714680 58171429360