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5834860164 = 223379378237
BaseRepresentation
bin1010110111100100…
…01110011010000100
3120001122022121102000
411123302032122010
543422211011124
62402553145300
7264410331060
oct53362163204
916048277360
105834860164
112524698891
12116a0bb230
1371cac89a3
143d4d02aa0
152423b76c9
hex15bc8e684

5834860164 has 96 divisors (see below), whose sum is σ = 17309026560. Its totient is φ = 1665121536.

The previous prime is 5834860147. The next prime is 5834860169. The reversal of 5834860164 is 4610684385.

5834860164 is a `hidden beast` number, since 5 + 8 + 3 + 486 + 0 + 164 = 666.

It is not an unprimeable number, because it can be changed into a prime (5834860169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704254 + ... + 712490.

It is an arithmetic number, because the mean of its divisors is an integer number (180302360).

Almost surely, 25834860164 is an apocalyptic number.

5834860164 is a gapful number since it is divisible by the number (54) 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 5834860164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654513280).

5834860164 is an abundant number, since it is smaller than the sum of its proper divisors (11474166396).

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

5834860164 is a wasteful number, since it uses less digits than its factorization.

5834860164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9194 (or 9186 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5834860164 is about 76386.2563816293. The cubic root of 5834860164 is about 1800.2942074651.

The spelling of 5834860164 in words is "five billion, eight hundred thirty-four million, eight hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 937 1874 2811 3748 5622 6559 8237 8433 11244 13118 16474 16866 19677 24711 25299 26236 32948 33732 39354 49422 50598 57659 59031 74133 78708 98844 101196 115318 118062 148266 172977 177093 222399 230636 236124 296532 345954 354186 444798 518931 691908 708372 889596 1037862 1556793 2075724 3113586 6227172 7718069 15436138 23154207 30872276 46308414 54026483 69462621 92616828 108052966 138925242 162079449 208387863 216105932 277850484 324158898 416775726 486238347 648317796 833551452 972476694 1458715041 1944953388 2917430082 5834860164