Search a number
-
+
422619411836160 = 28325731153383479
BaseRepresentation
bin110000000010111101011111…
…1111010101110110100000000
32001102101000120110012222101200
41200011322333322232310000
5420343144023412224120
64054500402203301200
7155006150000133000
oct14005727772566400
92042330513188350
10422619411836160
11112728982352910
123b496581b1a800
13151a7abb5b7926
147650c6273a000
1533cd47a0e9e90
hex1805ebfeaed00

422619411836160 has 3456 divisors, whose sum is σ = 1904245604352000. Its totient is φ = 85755729346560.

The previous prime is 422619411836147. The next prime is 422619411836233. The reversal of 422619411836160 is 61638114916224.

422619411836160 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 1 + 9 + 4 + 1 + 18 + 3 + 616 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 422619411836097 and 422619411836106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 882295222801 + ... + 882295223279.

It is an arithmetic number, because the mean of its divisors is an integer number (550996992000).

Almost surely, 2422619411836160 is an apocalyptic number.

422619411836160 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 422619411836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952122802176000).

422619411836160 is an abundant number, since it is smaller than the sum of its proper divisors (1481626192515840).

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

422619411836160 is a wasteful number, since it uses less digits than its factorization.

422619411836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 422619411836160 in words is "four hundred twenty-two trillion, six hundred nineteen billion, four hundred eleven million, eight hundred thirty-six thousand, one hundred sixty".