Search a number
-
+
60300164138436 = 22327322945267937
BaseRepresentation
bin11011011010111101110011…
…10111010000010111000100
321220111122021010011122022200
431231132321313100113010
530400424214004412221
6332125302445354500
715462354165134565
oct1555367167202704
9256448233148280
1060300164138436
11182391796a8002
12691a6aab68a30
1327853866b9421
1410c67875a416c
156e882b885426
hex36d7b9dd05c4

60300164138436 has 36 divisors (see below), whose sum is σ = 154513434294492. Its totient is φ = 19824711496704.

The previous prime is 60300164138327. The next prime is 60300164138437. The reversal of 60300164138436 is 63483146100306.

60300164138436 is a `hidden beast` number, since 603 + 0 + 0 + 1 + 6 + 4 + 1 + 3 + 8 + 4 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42798993904836 + 17501170233600 = 6542094^2 + 4183440^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×603001641384362 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60300164138391 and 60300164138400.

It is not an unprimeable number, because it can be changed into a prime (60300164138437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11472631341 + ... + 11472636596.

Almost surely, 260300164138436 is an apocalyptic number.

It is an amenable number.

60300164138436 is an abundant number, since it is smaller than the sum of its proper divisors (94213270156056).

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

60300164138436 is a wasteful number, since it uses less digits than its factorization.

60300164138436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22945268020 (or 22945268015 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 60300164138436 in words is "sixty trillion, three hundred billion, one hundred sixty-four million, one hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 22945267937 45890535874 68835803811 91781071748 137671607622 206507411433 275343215244 413014822866 826029645732 1675004559401 3350009118802 5025013678203 6700018237604 10050027356406 15075041034609 20100054712812 30150082069218 60300164138436