Search a number
-
+
93381093819 = 32132311980469
BaseRepresentation
bin101011011110111110…
…0100110100110111011
322221000220000001220100
41112331330212212323
53012221030000234
6110522040530443
76514033125636
oct1267574464673
9287026001810
1093381093819
113666a213a02
1216121180a23
138a62458800
14473bd86c1d
1526680ec399
hex15bdf269bb

93381093819 has 36 divisors (see below), whose sum is σ = 150769220160. Its totient is φ = 55611541440.

The previous prime is 93381093769. The next prime is 93381093829. The reversal of 93381093819 is 91839018339.

It is not a de Polignac number, because 93381093819 - 28 = 93381093563 is a prime.

It is a super-2 number, since 2×933810938192 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (93381093829) 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, 943084 + ... + 1037385.

Almost surely, 293381093819 is an apocalyptic number.

93381093819 is a deficient number, since it is larger than the sum of its proper divisors (57388126341).

93381093819 is a wasteful number, since it uses less digits than its factorization.

93381093819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980532 (or 1980516 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 93381093819 in words is "ninety-three billion, three hundred eighty-one million, ninety-three thousand, eight hundred nineteen".

Divisors: 1 3 9 13 31 39 93 117 169 279 403 507 1209 1521 3627 5239 15717 47151 1980469 5941407 17824221 25746097 61394539 77238291 184183617 231714873 334699261 552550851 798129007 1004097783 2394387021 3012293349 7183161063 10375677091 31127031273 93381093819