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148082184746160 = 243571381436314629
BaseRepresentation
bin100001101010111000010010…
…000001001111010010110000
3201102022112000001201121202220
4201222320102001033102300
5123402134303243334120
61242540003323241040
743122404404105260
oct4152702201172260
9642275001647686
10148082184746160
11432023358816a5
12147373a0079180
136482122c59c72
14287d3049317a0
15121be56627b40
hex86ae1204f4b0

148082184746160 has 320 divisors, whose sum is σ = 525170150292480. Its totient is φ = 33812783493120.

The previous prime is 148082184746159. The next prime is 148082184746201. The reversal of 148082184746160 is 61647481280841.

It is a happy number.

It is a super-2 number, since 2×1480821847461602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 148082184746094 and 148082184746103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10122501726 + ... + 10122516354.

It is an arithmetic number, because the mean of its divisors is an integer number (1641156719664).

Almost surely, 2148082184746160 is an apocalyptic number.

148082184746160 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 148082184746160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262585075146240).

148082184746160 is an abundant number, since it is smaller than the sum of its proper divisors (377087965546320).

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

148082184746160 is a wasteful number, since it uses less digits than its factorization.

148082184746160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20396 (or 20390 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The spelling of 148082184746160 in words is "one hundred forty-eight trillion, eighty-two billion, one hundred eighty-four million, seven hundred forty-six thousand, one hundred sixty".