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93213880164 = 2234733941057
BaseRepresentation
bin101011011001111111…
…0101110111101100100
322220121020100201220000
41112303332232331210
53011400223131124
6110453304541300
76506632623366
oct1266376567544
9286536321800
1093213880164
11365938948a9
1216095181830
138a36910812
144723a9ad36
1526585bc6c9
hex15b3faef64

93213880164 has 60 divisors (see below), whose sum is σ = 247017633324. Its totient is φ = 30645651456.

The previous prime is 93213880163. The next prime is 93213880169. The reversal of 93213880164 is 46108831239.

93213880164 is a `hidden beast` number, since 93 + 21 + 388 + 0 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75202092900 + 18011787264 = 274230^2 + 134208^2 .

It is not an unprimeable number, because it can be changed into a prime (93213880163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1946877 + ... + 1994180.

Almost surely, 293213880164 is an apocalyptic number.

It is an amenable number.

93213880164 is an abundant number, since it is smaller than the sum of its proper divisors (153803753160).

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

93213880164 is a wasteful number, since it uses less digits than its factorization.

93213880164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941146 (or 3941135 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 93213880164 in words is "ninety-three billion, two hundred thirteen million, eight hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3942 5913 7884 11826 23652 3941057 7882114 11823171 15764228 23646342 35469513 47292684 70939026 106408539 141878052 212817078 287697161 319225617 425634156 575394322 638451234 863091483 1150788644 1276902468 1726182966 2589274449 3452365932 5178548898 7767823347 10357097796 15535646694 23303470041 31071293388 46606940082 93213880164