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189013342848 = 27311314333569
BaseRepresentation
bin1011000000001000010…
…0101011101010000000
3200001212122221200012120
42300002010223222000
511044044403432343
6222455335524240
716440632622411
oct2600204535200
9601778850176
10189013342848
1173184117060
1230770229680
1314a930b6b05
149210cc5808
154db3b6d683
hex2c0212ba80

189013342848 has 256 divisors, whose sum is σ = 578542694400. Its totient is φ = 54138470400.

The previous prime is 189013342831. The next prime is 189013342849. The reversal of 189013342848 is 848243310981.

It is a happy number.

It is a super-2 number, since 2×1890133428482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 189013342848.

It is not an unprimeable number, because it can be changed into a prime (189013342849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5613808 + ... + 5647376.

It is an arithmetic number, because the mean of its divisors is an integer number (2259932400).

Almost surely, 2189013342848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189013342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289271347200).

189013342848 is an abundant number, since it is smaller than the sum of its proper divisors (389529351552).

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

189013342848 is a wasteful number, since it uses less digits than its factorization.

189013342848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33671 (or 33659 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 189013342848 in words is "one hundred eighty-nine billion, thirteen million, three hundred forty-two thousand, eight hundred forty-eight".