Search a number
-
+
163895639040 = 21032572292503
BaseRepresentation
bin1001100010100011110…
…0001111110000000000
3120200001011120010010100
42120220330033300000
510141124240422130
6203143112202400
714561325642300
oct2305074176000
9520034503110
10163895639040
11635648a7461
1227920399400
13125bc37b893
147d0b05d600
1543e399ac60
hex2628f0fc00

163895639040 has 792 divisors, whose sum is σ = 683664265440. Its totient is φ = 36155621376.

The previous prime is 163895639009. The next prime is 163895639071. The reversal of 163895639040 is 40936598361.

163895639040 is a `hidden beast` number, since 1 + 6 + 38 + 9 + 563 + 9 + 0 + 40 = 666.

163895639040 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163895639009) and next prime (163895639071).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65478429 + ... + 65480931.

Almost surely, 2163895639040 is an apocalyptic number.

163895639040 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 163895639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341832132720).

163895639040 is an abundant number, since it is smaller than the sum of its proper divisors (519768626400).

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

163895639040 is a wasteful number, since it uses less digits than its factorization.

163895639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 163895639040 in words is "one hundred sixty-three billion, eight hundred ninety-five million, six hundred thirty-nine thousand, forty".