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93113120436196 = 2272412168112
BaseRepresentation
bin10101001010111110010110…
…011101111010111111100100
3110012200112020110102010000111
4111022332112131322333210
544201031132312424241
6530011324344422404
725420125632544100
oct2512762635727744
9405615213363014
1093113120436196
112773a064039933
12a539b43777a04
133cc56b6649383
1418dc9b0396900
15ab71450ebc81
hex54af9677afe4

93113120436196 has 81 divisors (see below), whose sum is σ = 194299241027241. Its totient is φ = 38929999281600.

The previous prime is 93113120436179. The next prime is 93113120436359. The reversal of 93113120436196 is 69163402131139.

The square root of 93113120436196 is 9649514.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4486711930596 + 88626408505600 = 2118186^2 + 9414160^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5538812631 + ... + 5538829441.

Almost surely, 293113120436196 is an apocalyptic number.

93113120436196 is the 9649514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93113120436196

93113120436196 is an abundant number, since it is smaller than the sum of its proper divisors (101186120591045).

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

93113120436196 is an frugal number, since it uses more digits than its factorization.

93113120436196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33722 (or 16861 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

93113120436196 divided by its sum of digits (49) gives a square (1900267764004 = 13785022).

The spelling of 93113120436196 in words is "ninety-three trillion, one hundred thirteen billion, one hundred twenty million, four hundred thirty-six thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 1681 2009 3362 4018 6724 8036 11767 16811 23534 33622 47068 67244 82369 117677 164738 235354 329476 470708 689251 823739 1378502 1647478 2757004 3294956 4824757 9649514 19299028 28259291 33773299 56518582 67546598 113037164 135093196 197815037 282609721 395630074 565219442 791260148 1130438884 1384705259 1978268047 2769410518 3956536094 5538821036 7913072188 11586998561 13847876329 23173997122 27695752658 46347994244 55391505316 81108989927 162217979854 324435959708 475066941001 567762929489 950133882002 1135525858978 1900267764004 2271051717956 3325468587007 6650937174014 13301874348028 23278280109049 46556560218098 93113120436196