Search a number
-
+
147427362080640 = 27325314183331733
BaseRepresentation
bin100001100001010110011011…
…100011000000011110000000
3201022222220210100100121021100
4201201112123203000132000
5123310422214143040030
61241315110053054400
743024163316224205
oct4141263343003600
9638886710317240
10147427362080640
1142a7a658520074
12146504b1327400
136435457380a05
14285974565bcac
151209dcd83c360
hex86159b8c0780

147427362080640 has 1536 divisors, whose sum is σ = 547201754910720. Its totient is φ = 36509958144000.

The previous prime is 147427362080569. The next prime is 147427362080651. The reversal of 147427362080640 is 46080263724741.

147427362080640 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 2 + 7 + 3 + 620 + 8 + 0 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×1474273620806402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201128733714 + ... + 201128734446.

It is an arithmetic number, because the mean of its divisors is an integer number (356251142520).

Almost surely, 2147427362080640 is an apocalyptic number.

147427362080640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147427362080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273600877455360).

147427362080640 is an abundant number, since it is smaller than the sum of its proper divisors (399774392830080).

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

147427362080640 is a wasteful number, since it uses less digits than its factorization.

147427362080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 147427362080640 in words is "one hundred forty-seven trillion, four hundred twenty-seven billion, three hundred sixty-two million, eighty thousand, six hundred forty".