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2093145390108 = 22324119157113003
BaseRepresentation
bin11110011101011001001…
…011111111110000011100
321102002202220022221011100
4132131121023333300130
5233243230204440413
64241324441553100
7304140044154123
oct36353113776034
97362686287140
102093145390108
11737775006033
122997ba1a5790
131224c8c14716
14734473dcaba
15396aa56ba73
hex1e7592ffc1c

2093145390108 has 144 divisors (see below), whose sum is σ = 5458394253312. Its totient is φ = 675895968000.

The previous prime is 2093145390071. The next prime is 2093145390187. The reversal of 2093145390108 is 8010935413902.

It is a happy number.

2093145390108 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 1 + 4 + 539 + 0 + 108 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160967535 + ... + 160980537.

It is an arithmetic number, because the mean of its divisors is an integer number (37905515648).

Almost surely, 22093145390108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2093145390108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729197126656).

2093145390108 is an abundant number, since it is smaller than the sum of its proper divisors (3365248863204).

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

2093145390108 is a wasteful number, since it uses less digits than its factorization.

2093145390108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816 (or 13811 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2093145390108 in words is "two trillion, ninety-three billion, one hundred forty-five million, three hundred ninety thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 191 246 369 382 492 571 573 738 764 1142 1146 1476 1713 1719 2284 2292 3426 3438 5139 6852 6876 7831 10278 13003 15662 20556 23411 23493 26006 31324 39009 46822 46986 52012 70233 70479 78018 93644 93972 109061 117027 140466 140958 156036 210699 218122 234054 280932 281916 327183 421398 436244 468108 533123 654366 842796 981549 1066246 1308732 1599369 1963098 2132492 2483573 3198738 3926196 4471501 4798107 4967146 6397476 7424713 7450719 8943002 9596214 9934292 13414503 14849426 14901438 17886004 19192428 22274139 22352157 26829006 29698852 29802876 40243509 44548278 44704314 53658012 66822417 80487018 89096556 89408628 101826493 133644834 160974036 203652986 267289668 304413233 305479479 407305972 608826466 610958958 913239699 916438437 1217652932 1221917916 1418120183 1826479398 1832876874 2739719097 2836240366 3652958796 3665753748 4254360549 5479438194 5672480732 8508721098 10958876388 12763081647 17017442196 25526163294 51052326588 58142927503 116285855006 174428782509 232571710012 348857565018 523286347527 697715130036 1046572695054 2093145390108