Search a number
-
+
298190745216 = 273271310128163
BaseRepresentation
bin1000101011011011000…
…11011010111010000000
31001111200102111100202200
410111231203122322000
514341143312321331
6344553102313200
730354305341140
oct4255543327200
91044612440680
10298190745216
111055099a1411
124995b588800
132217204b250
141060ab3a920
157b539285e6
hex456d8dae80

298190745216 has 384 divisors, whose sum is σ = 1066586451840. Its totient is φ = 77862297600.

The previous prime is 298190745191. The next prime is 298190745263. The reversal of 298190745216 is 612547091892.

It is a happy number.

298190745216 is a `hidden beast` number, since 2 + 98 + 1 + 90 + 7 + 452 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 10573951 + ... + 10602113.

It is an arithmetic number, because the mean of its divisors is an integer number (2777568885).

Almost surely, 2298190745216 is an apocalyptic number.

298190745216 is a gapful number since it is divisible by the number (26) 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 298190745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533293225920).

298190745216 is an abundant number, since it is smaller than the sum of its proper divisors (768395706624).

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

298190745216 is a wasteful number, since it uses less digits than its factorization.

298190745216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28304 (or 28289 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 298190745216 in words is "two hundred ninety-eight billion, one hundred ninety million, seven hundred forty-five thousand, two hundred sixteen".