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7135810164 = 22327191490353
BaseRepresentation
bin1101010010101001…
…11101001001110100
3200102022021201022100
412221110331021310
5104103231411124
63140025102100
7341555246160
oct65124751164
920368251270
107135810164
113031a8487a
121471927930
138994a71a2
144b99cdca0
152bb6e41c9
hex1a953d274

7135810164 has 72 divisors (see below), whose sum is σ = 21699554240. Its totient is φ = 1931496192.

The previous prime is 7135810133. The next prime is 7135810229. The reversal of 7135810164 is 4610185317.

7135810164 is a `hidden beast` number, since 7 + 13 + 581 + 0 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 740389 + ... + 749964.

Almost surely, 27135810164 is an apocalyptic number.

It is an amenable number.

7135810164 is an abundant number, since it is smaller than the sum of its proper divisors (14563744076).

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

7135810164 is a wasteful number, since it uses less digits than its factorization.

7135810164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490389 (or 1490384 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7135810164 is about 84473.7246959077. The cubic root of 7135810164 is about 1925.2232417996.

The spelling of 7135810164 in words is "seven billion, one hundred thirty-five million, eight hundred ten thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 1490353 2980706 4471059 5961412 8942118 10432471 13413177 17884236 20864942 26826354 28316707 31297413 41729884 53652708 56633414 62594826 84950121 93892239 113266828 125189652 169900242 187784478 198216949 254850363 339800484 375568956 396433898 509700726 594650847 792867796 1019401452 1189301694 1783952541 2378603388 3567905082 7135810164