Search a number
-
+
285116846065740 = 223551319012373893
BaseRepresentation
bin100000011010011111111000…
…0010101000100100001001100
31101101111220102020002100200000
41000310333300111010201030
5244332323300043100430
62450220512035204300
7114025004144403153
oct10064776025044114
91341456366070600
10285116846065740
1182935414694627
1227b8967aa46690
13c312531b3c610
145059a2c47059a
1522e6824350e60
hex1034ff054484c

285116846065740 has 288 divisors, whose sum is σ = 966385811716416. Its totient is φ = 70145659929600.

The previous prime is 285116846065691. The next prime is 285116846065757. The reversal of 285116846065740 is 47560648611582.

285116846065740 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 16 + 8 + 4 + 606 + 5 + 7 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118918234 + ... + 121292126.

It is an arithmetic number, because the mean of its divisors is an integer number (3355506290682).

Almost surely, 2285116846065740 is an apocalyptic number.

285116846065740 is a gapful number since it is divisible by the number (20) 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 285116846065740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483192905858208).

285116846065740 is an abundant number, since it is smaller than the sum of its proper divisors (681268965650676).

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

285116846065740 is a wasteful number, since it uses less digits than its factorization.

285116846065740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375831 (or 2375817 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 285116846065740 in words is "two hundred eighty-five trillion, one hundred sixteen billion, eight hundred forty-six million, sixty-five thousand, seven hundred forty".