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93008523042 = 2323741283077
BaseRepresentation
bin101011010011110111…
…1010110111100100010
322220001220221111212200
41112213233112330202
53010440140214132
6110421051234030
76501560254521
oct1264757267442
9286056844780
1093008523042
1136498982a76
1216038448916
138a031cc026
1447046c24b8
152645555d7c
hex15a7bd6f22

93008523042 has 72 divisors (see below), whose sum is σ = 212138509908. Its totient is φ = 29428842240.

The previous prime is 93008523011. The next prime is 93008523043. The reversal of 93008523042 is 24032580039.

93008523042 is a `hidden beast` number, since 9 + 300 + 85 + 230 + 42 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17323561161 + 75684961881 = 131619^2 + 275109^2 .

It is a junction number, because it is equal to n+sod(n) for n = 93008522988 and 93008523006.

It is not an unprimeable number, because it can be changed into a prime (93008523043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1078008 + ... + 1161084.

Almost surely, 293008523042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93008523042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106069254954).

93008523042 is an abundant number, since it is smaller than the sum of its proper divisors (119129986866).

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

93008523042 is a wasteful number, since it uses less digits than its factorization.

93008523042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83204 (or 83160 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 93008523042 in words is "ninety-three billion, eight million, five hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1517 1681 3034 3362 4551 5043 9102 10086 13653 15129 27306 30258 62197 83077 124394 166154 186591 249231 373182 498462 559773 747693 1119546 1495386 3073849 3406157 6147698 6812314 9221547 10218471 18443094 20436942 27664641 30655413 55329282 61310826 126027809 139652437 252055618 279304874 378083427 418957311 756166854 837914622 1134250281 1256871933 2268500562 2513743866 5167140169 10334280338 15501420507 31002841014 46504261521 93008523042