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198900463520 = 255112310148649
BaseRepresentation
bin1011100100111101100…
…1000011011110100000
3201000101201022110000002
42321033121003132200
511224322004313040
6231212411115132
720240640021203
oct2711731033640
9630351273002
10198900463520
1177398143170
123266b442aa8
13159aa5a1485
1498ac06393a
155291b80a15
hex2e4f6437a0

198900463520 has 192 divisors, whose sum is σ = 540215827200. Its totient is φ = 68496384000.

The previous prime is 198900463441. The next prime is 198900463529. The reversal of 198900463520 is 25364009891.

198900463520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1989004635202 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (198900463529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4064156 + ... + 4112804.

It is an arithmetic number, because the mean of its divisors is an integer number (2813624100).

Almost surely, 2198900463520 is an apocalyptic number.

198900463520 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 198900463520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270107913600).

198900463520 is an abundant number, since it is smaller than the sum of its proper divisors (341315363680).

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

198900463520 is a wasteful number, since it uses less digits than its factorization.

198900463520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48799 (or 48791 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The spelling of 198900463520 in words is "one hundred ninety-eight billion, nine hundred million, four hundred sixty-three thousand, five hundred twenty".