Search a number
-
+
198024196608 = 293476710181
BaseRepresentation
bin1011100001101100101…
…0010111001000000000
3200221010122110110210000
42320123022113020000
511221023143242413
6230545425440000
720210136620160
oct2703312271000
9627118413700
10198024196608
1176a88550937
1232465aa0000
131589ab97444
1498279245a0
15523ec91073
hex2e1b297200

198024196608 has 400 divisors, whose sum is σ = 685635027264. Its totient is φ = 55728414720.

The previous prime is 198024196583. The next prime is 198024196609. The reversal of 198024196608 is 806691420891.

198024196608 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 24 + 1 + 9 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (198024196609) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19445278 + ... + 19455458.

Almost surely, 2198024196608 is an apocalyptic number.

198024196608 is a gapful number since it is divisible by the number (18) 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 198024196608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342817513632).

198024196608 is an abundant number, since it is smaller than the sum of its proper divisors (487610830656).

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

198024196608 is an equidigital number, since it uses as much as digits as its factorization.

198024196608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 198024196608 in words is "one hundred ninety-eight billion, twenty-four million, one hundred ninety-six thousand, six hundred eight".