Search a number
-
+
93112046604 = 22321753254163
BaseRepresentation
bin101011010110111101…
…0010001010000001100
322220100010202001111200
41112231322101100030
53011143140442404
6110435230145500
76504255223503
oct1265572212014
9286303661450
1093112046604
1136541360835
1216067052290
138a1b7a7585
14471434d83a
15264e6a4839
hex15ade9140c

93112046604 has 108 divisors (see below), whose sum is σ = 254007169416. Its totient is φ = 28659930624.

The previous prime is 93112046603. The next prime is 93112046623. The reversal of 93112046604 is 40664021139.

93112046604 is a `hidden beast` number, since 9 + 3 + 1 + 1 + 2 + 0 + 46 + 604 = 666.

It is a super-3 number, since 3×931120466043 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (93112046603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1692027 + ... + 1746189.

Almost surely, 293112046604 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 93112046604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127003584708).

93112046604 is an abundant number, since it is smaller than the sum of its proper divisors (160895122812).

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

93112046604 is a wasteful number, since it uses less digits than its factorization.

93112046604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54296 (or 54238 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 93112046604 in words is "ninety-three billion, one hundred twelve million, forty-six thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 2809 3604 5406 5618 8109 8427 10812 11236 16218 16854 25281 32436 33708 47753 50562 54163 95506 101124 108326 143259 162489 191012 216652 286518 324978 429777 487467 573036 649956 859554 920771 974934 1719108 1841542 1949868 2762313 2870639 3683084 5524626 5741278 8286939 8611917 11049252 11482556 16573878 17223834 25835751 33147756 34447668 48800863 51671502 97601726 103343004 146402589 152143867 195203452 292805178 304287734 439207767 456431601 585610356 608575468 878415534 912863202 1369294803 1756831068 1825726404 2586445739 2738589606 5172891478 5477179212 7759337217 10345782956 15518674434 23278011651 31037348868 46556023302 93112046604