Search a number
-
+
53018203680 = 253251329611601
BaseRepresentation
bin110001011000001000…
…011001011000100000
312001211221002210201100
4301120020121120200
51332040130004210
640204540034400
73554561203251
oct613010313040
9161757083640
1053018203680
1120537437162
12a337832a00
134ccc158b70
1427cd514b28
1515a48325c0
hexc58219620

53018203680 has 576 divisors, whose sum is σ = 204992817120. Its totient is φ = 12386304000.

The previous prime is 53018203669. The next prime is 53018203697. The reversal of 53018203680 is 8630281035.

53018203680 is a `hidden beast` number, since 530 + 18 + 2 + 0 + 36 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2182384656 + 50835819024 = 46716^2 + 225468^2 .

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

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, 33114880 + ... + 33116480.

Almost surely, 253018203680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53018203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102496408560).

53018203680 is an abundant number, since it is smaller than the sum of its proper divisors (151974613440).

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

53018203680 is a wasteful number, since it uses less digits than its factorization.

53018203680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 53018203680 in words is "fifty-three billion, eighteen million, two hundred three thousand, six hundred eighty".