Search a number
-
+
168136184160 = 2534572238311
BaseRepresentation
bin1001110010010110110…
…0101001000101100000
3121001222200220010110000
42130211230221011200
510223320330343120
6205123553540000
715101366661510
oct2344554510540
9531880803400
10168136184160
11653405467aa
1228704574600
1312b16a82289
1481d030b840
154590dd8990
hex2725b29160

168136184160 has 480 divisors, whose sum is σ = 681272266752. Its totient is φ = 38254187520.

The previous prime is 168136184159. The next prime is 168136184189. The reversal of 168136184160 is 61481631861.

168136184160 is a `hidden beast` number, since 1 + 6 + 8 + 13 + 618 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20226405 + ... + 20234715.

Almost surely, 2168136184160 is an apocalyptic number.

168136184160 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 168136184160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340636133376).

168136184160 is an abundant number, since it is smaller than the sum of its proper divisors (513136082592).

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

168136184160 is a wasteful number, since it uses less digits than its factorization.

168136184160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 168136184160 in words is "one hundred sixty-eight billion, one hundred thirty-six million, one hundred eighty-four thousand, one hundred sixty".