Search a number
-
+
159197613246 = 2337757556351
BaseRepresentation
bin1001010001000011101…
…0101100110010111110
3120012220202101200022000
42110100322230302332
510102014042110441
6201045005203130
714334031246140
oct2242072546276
9505822350260
10159197613246
11615739a2111
1226a2ab604a6
1312020c5c569
1479c3126c90
15421b2e32b6
hex2510eaccbe

159197613246 has 64 divisors (see below), whose sum is σ = 404846223360. Its totient is φ = 45424864800.

The previous prime is 159197613241. The next prime is 159197613283. The reversal of 159197613246 is 642316791951.

159197613246 is a `hidden beast` number, since 1 + 5 + 9 + 19 + 7 + 613 + 2 + 4 + 6 = 666.

159197613246 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 159197613192 and 159197613201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159197613241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7971 + ... + 564321.

It is an arithmetic number, because the mean of its divisors is an integer number (6325722240).

Almost surely, 2159197613246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159197613246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202423111680).

159197613246 is an abundant number, since it is smaller than the sum of its proper divisors (245648610114).

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

159197613246 is a wasteful number, since it uses less digits than its factorization.

159197613246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557126 (or 557120 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 159197613246 in words is "one hundred fifty-nine billion, one hundred ninety-seven million, six hundred thirteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 757 1514 2271 4542 5299 6813 10598 13626 15897 20439 31794 40878 47691 95382 143073 286146 556351 1112702 1669053 3338106 3894457 5007159 7788914 10014318 11683371 15021477 23366742 30042954 35050113 70100226 105150339 210300678 421157707 842315414 1263473121 2526946242 2948103949 3790419363 5896207898 7580838726 8844311847 11371258089 17688623694 22742516178 26532935541 53065871082 79598806623 159197613246