Search a number
-
+
147197347200 = 27310521941
BaseRepresentation
bin1000100100010110100…
…1010100010110000000
3112001221102210000000000
42021011221110112000
54402430010102300
6151342130000000
713430454543561
oct2110551242600
9461842700000
10147197347200
1157476079672
1224640116000
1310b5aa33917
1471a547a168
153c67a1dc00
hex2245a54580

147197347200 has 1056 divisors, whose sum is σ = 588142434600. Its totient is φ = 36279705600.

The previous prime is 147197347189. The next prime is 147197347201. The reversal of 147197347200 is 2743791741.

147197347200 is a `hidden beast` number, since 14 + 7 + 1 + 97 + 347 + 200 = 666.

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 (147197347201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 3590179180 + ... + 3590179220.

Almost surely, 2147197347200 is an apocalyptic number.

147197347200 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 147197347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294071217300).

147197347200 is an abundant number, since it is smaller than the sum of its proper divisors (440945087400).

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

147197347200 is an frugal number, since it uses more digits than its factorization.

147197347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 147197347200 in words is "one hundred forty-seven billion, one hundred ninety-seven million, three hundred forty-seven thousand, two hundred".