Search a number
-
+
168425149230 = 2365133157329
BaseRepresentation
bin1001110011011011101…
…0111101001100101110
3121002201211122002000000
42130312322331030232
510224413314233410
6205212355245130
715111506101332
oct2346672751456
9532654562000
10168425149230
1165479673508
12287852a97a6
1312b618b8420
14821a84b7c2
1545ab467dc0
hex2736ebd32e

168425149230 has 224 divisors, whose sum is σ = 505303868160. Its totient is φ = 40120427520.

The previous prime is 168425149201. The next prime is 168425149237. The reversal of 168425149230 is 32941524861.

168425149230 is a `hidden beast` number, since 1 + 6 + 8 + 42 + 514 + 92 + 3 + 0 = 666.

It is a super-3 number, since 3×1684251492303 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168425149237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2909206 + ... + 2966534.

It is an arithmetic number, because the mean of its divisors is an integer number (2255820840).

Almost surely, 2168425149230 is an apocalyptic number.

168425149230 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 168425149230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252651934080).

168425149230 is an abundant number, since it is smaller than the sum of its proper divisors (336878718930).

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

168425149230 is a wasteful number, since it uses less digits than its factorization.

168425149230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57398 (or 57383 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 168425149230 in words is "one hundred sixty-eight billion, four hundred twenty-five million, one hundred forty-nine thousand, two hundred thirty".