Search a number
-
+
147220161984 = 263772347139
BaseRepresentation
bin1000100100011100000…
…0010110010111000000
3112002000000201010000000
42021013000112113000
54403001330140414
6151344303000000
713431152505150
oct2110700262700
9462000633000
10147220161984
1157487a41765
1224647899000
1310b626912ac
1471a84d8760
153c69a28b09
hex22470165c0

147220161984 has 896 divisors, whose sum is σ = 537462374400. Its totient is φ = 39094742016.

The previous prime is 147220161839. The next prime is 147220162021. The reversal of 147220161984 is 489161022741.

147220161984 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 20 + 1 + 619 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1059137787 + ... + 1059137925.

It is an arithmetic number, because the mean of its divisors is an integer number (599846400).

Almost surely, 2147220161984 is an apocalyptic number.

147220161984 is a gapful number since it is divisible by the number (14) 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 147220161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268731187200).

147220161984 is an abundant number, since it is smaller than the sum of its proper divisors (390242212416).

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

147220161984 is an equidigital number, since it uses as much as digits as its factorization.

147220161984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 147220161984 in words is "one hundred forty-seven billion, two hundred twenty million, one hundred sixty-one thousand, nine hundred eighty-four".