Search a number
-
+
147056174720 = 2757132434517
BaseRepresentation
bin1000100011110100111…
…0110010011010000000
3112001120121010200202122
42020331032302122000
54402132340042340
6151320124103412
713424121601160
oct2107516623200
9461517120678
10147056174720
11574034166a4
1224600994b68
1310b37705a00
14719080c5a0
153c5a434db5
hex223d3b2680

147056174720 has 384 divisors, whose sum is σ = 445278176640. Its totient is φ = 45448445952.

The previous prime is 147056174717. The next prime is 147056174753. The reversal of 147056174720 is 27471650741.

147056174720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32553902 + ... + 32558418.

It is an arithmetic number, because the mean of its divisors is an integer number (1159578585).

Almost surely, 2147056174720 is an apocalyptic number.

147056174720 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 147056174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222639088320).

147056174720 is an abundant number, since it is smaller than the sum of its proper divisors (298222001920).

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

147056174720 is a wasteful number, since it uses less digits than its factorization.

147056174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The spelling of 147056174720 in words is "one hundred forty-seven billion, fifty-six million, one hundred seventy-four thousand, seven hundred twenty".