Search a number
-
+
163487342130 = 2357223311511033
BaseRepresentation
bin1001100001000010011…
…0101101111000110010
3120121222201021111001120
42120100212231320302
510134310224422010
6203034405043110
714545240323300
oct2302046557062
9517881244046
10163487342130
11633753849a2
12278276b6496
13125558c3988
147cacb39270
1543bcbe8e70
hex26109ade32

163487342130 has 384 divisors, whose sum is σ = 495373418496. Its totient is φ = 34328448000.

The previous prime is 163487342119. The next prime is 163487342173. The reversal of 163487342130 is 31243784361.

It is a super-2 number, since 2×1634873421302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158264094 + ... + 158265126.

It is an arithmetic number, because the mean of its divisors is an integer number (1290034944).

Almost surely, 2163487342130 is an apocalyptic number.

163487342130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 163487342130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247686709248).

163487342130 is an abundant number, since it is smaller than the sum of its proper divisors (331886076366).

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

163487342130 is a wasteful number, since it uses less digits than its factorization.

163487342130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 163487342130 in words is "one hundred sixty-three billion, four hundred eighty-seven million, three hundred forty-two thousand, one hundred thirty".