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394249255168 = 2889145311909
BaseRepresentation
bin1011011110010110001…
…01100011100100000000
31101200121220112021010111
411233023011203210000
522424410302131133
6501040545441104
740324602243046
oct5571305434400
91350556467114
10394249255168
1114222247671a
12644a9340194
132b2400b3c52
1415120518396
15a3c6ae91cd
hex5bcb163900

394249255168 has 72 divisors (see below), whose sum is σ = 796415268600. Its totient is φ = 194759245824.

The previous prime is 394249255159. The next prime is 394249255171. The reversal of 394249255168 is 861552942493.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76910819584 + 317338435584 = 277328^2 + 563328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33099198 + ... + 33111106.

It is an arithmetic number, because the mean of its divisors is an integer number (11061323175).

Almost surely, 2394249255168 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 394249255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398207634300).

394249255168 is an abundant number, since it is smaller than the sum of its proper divisors (402166013432).

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

394249255168 is a wasteful number, since it uses less digits than its factorization.

394249255168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13467 (or 13453 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The spelling of 394249255168 in words is "three hundred ninety-four billion, two hundred forty-nine million, two hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 1453 2848 2906 5696 5812 11392 11624 11909 22784 23248 23818 46496 47636 92992 95272 129317 185984 190544 258634 371968 381088 517268 762176 1034536 1059901 1524352 2069072 2119802 3048704 4138144 4239604 8276288 8479208 16552576 16958416 17303777 33105152 33916832 34607554 67833664 69215108 135667328 138430216 271334656 276860432 553720864 1107441728 1540036153 2214883456 3080072306 4429766912 6160144612 12320289224 24640578448 49281156896 98562313792 197124627584 394249255168