Search a number
-
+
422012021760 = 21034572191093
BaseRepresentation
bin1100010010000011110…
…00000110110000000000
31111100021202001221020000
412021001320012300000
523403240034144020
6521511502120000
742326564666400
oct6110170066000
91440252057200
10422012021760
11152a7986a11a
1269956b80000
1330a45b0c1a4
14165d5792800
15ae9e0ee090
hex6241e06c00

422012021760 has 1320 divisors, whose sum is σ = 1853431913520. Its totient is φ = 91299446784.

The previous prime is 422012021747. The next prime is 422012021813. The reversal of 422012021760 is 67120210224.

422012021760 is a `hidden beast` number, since 422 + 0 + 1 + 20 + 217 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 386103774 + ... + 386104866.

It is an arithmetic number, because the mean of its divisors is an integer number (1404115086).

Almost surely, 2422012021760 is an apocalyptic number.

422012021760 is a gapful number since it is divisible by the number (40) 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 422012021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926715956760).

422012021760 is an abundant number, since it is smaller than the sum of its proper divisors (1431419891760).

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

422012021760 is a wasteful number, since it uses less digits than its factorization.

422012021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 422012021760 its reverse (67120210224), we get a palindrome (489132231984).

The spelling of 422012021760 in words is "four hundred twenty-two billion, twelve million, twenty-one thousand, seven hundred sixty".