Search a number
-
+
162640083060 = 223457131397937
BaseRepresentation
bin1001011101111000011…
…0101011100001110100
3120112210200000021010000
42113132012223201310
510131041330124220
6202414341231300
714515241616240
oct2273606534164
9515720007100
10162640083060
1162a800a5694
122762ba02530
131244c205150
147c2c3cb420
15436d639390
hex25de1ab874

162640083060 has 480 divisors, whose sum is σ = 632545562880. Its totient is φ = 34064105472.

The previous prime is 162640083041. The next prime is 162640083101. The reversal of 162640083060 is 60380046261.

162640083060 is a `hidden beast` number, since 1 + 6 + 2 + 640 + 0 + 8 + 3 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20487412 + ... + 20495348.

It is an arithmetic number, because the mean of its divisors is an integer number (1317803256).

Almost surely, 2162640083060 is an apocalyptic number.

162640083060 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 162640083060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316272781440).

162640083060 is an abundant number, since it is smaller than the sum of its proper divisors (469905479820).

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

162640083060 is a wasteful number, since it uses less digits than its factorization.

162640083060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 162640083060 in words is "one hundred sixty-two billion, six hundred forty million, eighty-three thousand, sixty".